Journal ArticleFinite Elements in Analysis and Design · April 1, 2025
Identification and monitoring of damage have a growing importance in the maintenance of structures. A robust active sensing framework that integrates model-based inference and optimal sensor placement is proposed. By tightly coupling measured data and data ...
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Journal ArticleMicrosystems & nanoengineering · August 2024
Acoustic gravimetric biosensors attract attention due to their simplicity, robustness, and low cost. However, a prevailing challenge in these sensors is dissipation which manifests in a low quality factor (Q-factor), which limits their sensitivity and accu ...
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Journal ArticleStructural and Multidisciplinary Optimization · July 1, 2024
In order to make design decisions, engineers may seek to identify regions of the design domain that are acceptable in a computationally efficient manner. A design is typically considered acceptable if its reliability with respect to parametric uncertainty ...
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Journal ArticleThe Journal of the Acoustical Society of America · February 2024
This paper presents a numerical framework for designing diffuse fields in rooms of any shape and size, driven at arbitrary frequencies. That is, we aim at overcoming the Schroeder frequency limit for generating diffuse fields in an enclosed space. We formu ...
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Journal ArticleInverse problems · October 2023
We propose a general framework for obtaining probabilistic solutions to PDE-based inverse problems. Bayesian methods are attractive for uncertainty quantification but assume knowledge of the likelihood model or data generation process. This assumption is d ...
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Journal ArticleJournal of Engineering Mechanics · December 1, 2022
Identification and monitoring of structural damage have a growing importance in the maintenance of aging structures. Specifically, an optimal sensor configuration capable of fully identifying structural damage is desired. One innovative approach is casting ...
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Journal ArticleSIAM-ASA Journal on Uncertainty Quantification · December 1, 2022
The numerical solution of risk-averse optimization problems constrained by PDEs requires substantial computational effort resulting from the discretization of the underlying PDE in both the physical and stochastic dimensions. To practically solve these cha ...
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Journal ArticleJournal of Theoretical and Computational Acoustics · September 1, 2022
Acoustic and elastic metamaterials have shown potential for many different applications in wave manipulation and structural isolation. Minimization of a scattered wave field has been identified as an important use for such materials, and a wide variety of ...
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Journal ArticlePhysics in medicine and biology · June 2022
Objective. Arterial dispersion ultrasound vibrometry (ADUV) relies on the use of guided waves in arterial geometries for shear wave elastography measurements. Both the generation of waves through the use of acoustic radiation force (ARF) and the tec ...
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Journal ArticleUrology · January 2022
OBJECTIVE: To develop a machine learning algorithm that identifies detrusor overactivity (DO) in Urodynamic Studies (UDS) in the spina bifida population. UDS plays a key role in assessment of neurogenic bladder in patients with spina bifida. Due to signifi ...
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Journal ArticleInternational Journal for Numerical Methods in Engineering · December 30, 2021
The concept of adaptive eigenspace basis (AEB) has recently proved effective for solving medium imaging problems. In this article, we present an AEB strategy for design parameterization in topology optimization (TO) problems. We seek the density design fie ...
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Journal ArticlePhysics in medicine and biology · November 2021
Dispersion-based inversion has been proposed as a viable direction for materials characterization of arteries, allowing clinicians to better study cardiovascular conditions using shear wave elastography. However, these methods rely ona prioriknowled ...
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Journal ArticlePhysics in medicine and biology · June 2021
In this paper, we propose plane wave elastography (PWE), a novel ultrasound shear wave elastography (SWE) approach. Currently, commercial methods for SWE rely on directional filtering based on the prior knowledge of the wave propagation direction, to remov ...
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Journal ArticleMechanical Systems and Signal Processing · February 15, 2021
In this work, we present modal-based methods for model calibration in structural dynamics, and address several key challenges in the solution of gradient-based optimization problems with eigenvalues and eigenvectors, including the solution of singular Helm ...
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Journal ArticleComputer Methods in Applied Mechanics and Engineering · December 1, 2020
This paper presents a topology optimization formulation for frequency-domain dynamics to reduce solution dependence upon initial guess and considered loading conditions. Due to resonance phenomena in undamped steady-state dynamics, objectives measuring dyn ...
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Journal ArticlePhysics in medicine and biology · November 2020
Many of the current techniques in transient elastography, such as shear wave elastography (SWE) assume a dominant planar shear wave propagating in an infinite medium. This underlying assumption, however, can be easily violated in real scenarios in vivo, le ...
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Journal ArticleJournal of Applied Mechanics, Transactions ASME · November 1, 2020
We develop a generalized stress inversion technique (or the generalized inversion method) capable of recovering stresses in linear elastic bodies subjected to arbitrary cuts. Specifically, given a set of displacement measurements found experimentally from ...
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ConferenceProceedings of the American Control Conference · July 1, 2020
In this paper we propose an online active sensor planning strategy for model-based acoustic source identification (SI) in non-convex domains utilizing the three-dimensional Helmholtz partial differential equation (PDE). After discretizing the PDE using the ...
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Journal ArticleIEEE Transactions on Robotics · June 1, 2019
In this paper, we consider the problem of Active Source Identification in steady-state advection-diffusion (AD) transport systems. Unlike existing bioinspired heuristic methods, we propose a model-based approach that employs the AD-partial differential equ ...
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Journal ArticleComputer Methods in Applied Mechanics and Engineering · March 1, 2019
Many physical systems are modeled using partial differential equations (PDEs) with uncertain or random inputs. For such systems, naively propagating a fixed number of samples of the input probability law (or an approximation thereof) through the PDE is oft ...
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Journal ArticleComputer Methods in Applied Mechanics and Engineering · March 1, 2019
The integrity of engineering structures is often compromised by embedded surfaces that result from incomplete bonding during the manufacturing process, or initiation of damage from fatigue or impact processes. Examples include delaminations in composite ma ...
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ConferenceConference Proceedings of the Society for Experimental Mechanics Series · January 1, 2019
In computational structural dynamics problems, the ability to calibrate numerical models to physical test data often depends on determining the correct constraints within a structure with mechanical interfaces. These interfaces are defined as the locations ...
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Journal ArticleSIAM Journal on Applied Mathematics · January 1, 2019
We consider the identification of heterogeneous linear elastic moduli in the context of time-harmonic elastodynamics. This inverse problem is formulated as the minimization of the modified error in constitutive equation (MECE), an energy-based cost functio ...
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ConferenceProceedings of the American Control Conference · August 9, 2018
In this paper we propose a distributed approach for model-based Source Identification (SI) that minimizes communication cost and allows for on demand balancing of computational resources, based on the specifications of the sensors. Specifically, we conside ...
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ConferenceProceedings of the IEEE Conference on Decision and Control · July 2, 2018
In this paper we propose an acoustic source identification algorithm to localize multiple sources in non-trivial domains. We capture the physics of the acoustic wave propagation via the Helmholtz partial differential equation. Given a set of noisy complex ...
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Journal ArticleThe Journal of the Acoustical Society of America · January 2018
This letter demonstrates the design of continuously graded elastic cylinders to achieve passive cloaking from harmonic acoustic excitation, both at single frequencies and over extended bandwidths. The constitutive parameters in a multilayered, constant-den ...
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ConferenceAIAA Non-Deterministic Approaches Conference, 2018 · January 1, 2018
The numerical solution of risk-averse PDE-constrained optimization problems requires substantial computational effort resulting from the discretization of the underlying PDE in both the physical and stochastic dimensions. To practically solve problems with ...
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ConferenceIEEE International Ultrasonics Symposium, IUS · October 31, 2017
Techniques that can quantitatively measure viscoelastic mechanical properties in arteries may be very useful to detect early disease processes. We propose the use of inducing waves in the arterial walls with acoustic radiation force (ARF) and measuring the ...
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Journal ArticleThe Journal of the Acoustical Society of America · October 2017
A partial differential equation-constrained optimization approach is presented for reconstructing mechanical properties (e.g., elastic moduli). The proposed method is based on the minimization of an error in constitutive equations functional augmented with ...
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Journal ArticlePhysics in medicine and biology · July 2017
Arterial stiffness is found to be an early indicator of many cardiovascular diseases. Among various techniques, shear wave elastography has emerged as a promising tool for estimating local arterial stiffness through the observed dispersion of guided waves. ...
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Conference2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017 · June 28, 2017
In this paper we investigate the use of Stochastic Reduced Order Models (SROMs) for solving Stochastic Source Identification (SSI) problems in steady-state transport phenomena given statistics of the system state at a small number of locations. We capture ...
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Journal ArticleInternational journal for numerical methods in engineering · May 2017
In this work, we use Nitsche's formulation to weakly enforce kinematic constraints at an embedded interface in Helmholtz problems. Allowing embedded interfaces in a mesh provides significant ease for discretization, especially when material interfaces have ...
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Conference19th AIAA Non-Deterministic Approaches Conference, 2017 · January 1, 2017
When solving partial differential equations (PDEs) with random inputs, it is often computationally inefficient to merely propagate samples of the input probability law (or an approximation thereof) because the input law may not accurately capture the behav ...
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ConferenceIEEE International Ultrasonics Symposium, IUS · November 1, 2016
Acoustic radiation force (ARF) has been used to generate shear waves in many different tissues for the purpose of quantifying material properties of those tissues. This method has also been applied to arteries, but care must be taken in this application be ...
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Journal ArticleProbabilistic Engineering Mechanics · October 1, 2016
A method is presented for inferring the presence of an inclusion inside a domain; the proposed approach is suitable to be used in a diagnostic device with low computational power. Specifically, we use the Bayesian framework for the inference of stiff inclu ...
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ConferenceProceedings of the American Control Conference · July 28, 2016
In this paper we propose a novel approach to the problem of model-based source identification in steady-state transport phenomena given a set of noisy measurements. We formulate the problem as an optimization problem in function space and utilize the adjoi ...
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Journal ArticleComputer methods in applied mechanics and engineering · November 2015
This paper presents a methodology for the inverse identification of linearly viscoelastic material parameters in the context of steady-state dynamics using interior data. The inverse problem of viscoelasticity imaging is solved by minimizing a modified err ...
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ConferenceProceedings of the American Control Conference · July 28, 2015
This paper presents a model-based approach for source identification using sparse recovery techniques. In particular, given an arbitrary domain that contains a set of unknown sources and a set of stationary sensors that can measure a quantity generated by ...
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Journal ArticlePhysics in medicine and biology · July 2015
The elastic and geometric properties of arteries have been long recognized as important predictors of cardiovascular disease. This work presents a robust technique for the noninvasive characterization of anisotropic elastic properties as well as thickness ...
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Journal ArticleComputer methods in applied mechanics and engineering · March 2015
This work presents a novel methodology for solving inverse problems under uncertainty using stochastic reduced order models (SROMs). Given statistical information about an observed state variable in a system, unknown parameters are estimated probabilistica ...
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Journal ArticleInverse Problems · March 1, 2015
This work is concerned with large-scale three-dimensional (3D) inversion under transient elastodynamic conditions by means of the modified error in constitutive relation (MECR), an energy-based, cost functional. In contrast to quasi-static or frequency-dom ...
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Journal ArticleComputational mechanics · September 2014
This work focuses on the identification of heterogeneous linear elastic moduli in the context of frequency-domain, coupled acoustic-structure interaction (ASI), using either solid displacement or fluid pressure measurement data. The approach postulates the ...
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Journal ArticleInternational Journal for Numerical Methods in Engineering · March 16, 2014
One of the main computational issues with explicit dynamics simulations is the significant reduction of the critical time step as the spatial resolution of the finite element mesh increases. In this work, a selective mass scaling approach is presented that ...
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Journal ArticleCorrosion Science · March 1, 2014
We present a stochastic reduced order model (SROM) approach for quantifying uncertainty in systems undergoing corrosion. A SROM is a simple random element with a small number of samples that approximates the statistics of another target random element. The ...
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ConferenceJournal of Physics: Conference Series · January 1, 2014
This work is concerned with large-scale three-dimensional inversion under transient elastodynamic conditions by means of the modified error in constitutive relation (MECR), an energy-based cost functional. A peculiarity of time-domain MECR formulations is ...
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Journal ArticleElectrochimica Acta · September 23, 2013
This paper investigates the influence of elastic stresses and surface patterns on electrodic reaction rates. There are several well known processes that affect electrodic reaction rates such as rupture of passive layers, repassivation, and hydrogen adsopti ...
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Journal ArticleInverse Problems · September 1, 2013
Localizing sources in physical systems represents a class of inverse problems with broad scientific and engineering applications. This paper is concerned with the development of a non-iterative source sensitivity approach for the localization of sources in ...
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Journal ArticleComputer methods in applied mechanics and engineering · January 2013
This paper presents the formulation and implementation of an Error in Constitutive Equations (ECE) method suitable for large-scale inverse identification of linear elastic material properties in the context of steady-state elastodynamics. In ECE-based meth ...
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Journal ArticleProbabilistic Engineering Mechanics · January 1, 2013
An improved optimization algorithm is presented to construct accurate reduced order models for random vectors. The stochastic reduced order models (SROMs) are simple random elements that have a finite number of outcomes of unequal probabilities. The defini ...
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Journal ArticleCorrosion Science · December 1, 2012
We present in this work a numerical framework for simulating corrosive dissolution over long periods of time. Our proposed framework consists of three main elements: a novel dilute electrochemical model, a projective integration approach for obtaining the ...
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Journal ArticleCurrent Medical Imaging Reviews · November 1, 2011
In recent years, several new techniques based on the radiation force of ultrasound have been developed. Vibroacoustography is a speckle-free ultrasound based imaging modality that can visualize normal and abnormal soft tissue through mapping the acoustic r ...
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Journal ArticleElectrochimica Acta · October 1, 2011
We propose a simple, but novel mathematical and numerical approach to describe mass transport in dilute solutions, taking into consideration ionic interactions. Our proposed approach treats fluxes due to ionic interactions as additional unknowns in the tra ...
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Journal ArticlePhysics in medicine and biology · June 2011
Arterial elasticity has gained importance in recent decades because it has been shown to be an independent predictor of cardiovascular diseases. Several in vivo and ex vivo techniques have been developed to characterize the elastic properties of vessels. I ...
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Journal ArticleComputer Methods in Applied Mechanics and Engineering · January 15, 2011
An approach for efficient and accurate finite element analysis of harmonically excited soft solids using high-order spectral finite elements is presented and evaluated. The Helmholtz-type equations used to model such systems suffer from additional numerica ...
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ConferenceProceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011 · January 1, 2011
This work presents a methodology based on the concept of error in constitutive equations for the inverse reconstruction of viscoelastic properties using steady-state dynamics. The ECE algorithm presented herein consists of two main steps. In the first step ...
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Journal ArticleIEEE transactions on medical imaging · April 2010
A methodology for estimating the spatial distribution of elastic moduli using the steady-state dynamic response of solids immersed in fluids is presented. The technique relies on the ensuing acoustic field from a remotely excited solid to inversely estimat ...
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Journal ArticleUltrasound in medicine & biology · February 2010
Vibro-acoustography (VA) is an imaging method that forms a two-dimensional (2-D) image by moving two cofocused ultrasound beams with slightly different frequencies over the object in a C-scan format and recording acoustic emission from the focal region at ...
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Journal Article12th International Conference on Fracture 2009, ICF-12 · December 1, 2009
Fracture processes within a material begin at the nanometer length scale at which the formation, propagation, and interaction of fundamental damage mechanisms occur. Physics-based modeling of these atomic processes quickly becomes computationally intractab ...
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Journal ArticleInternational Journal for Numerical Methods in Engineering · August 13, 2009
A methodology is presented for generating enrichment functions in generalized finite element methods (GFEM) using experimental and/or simulated data. The approach is based on the proper orthogonal decomposition (POD) technique, which is used to generate lo ...
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Journal ArticleComputer Methods in Applied Mechanics and Engineering · February 15, 2009
A strategy is presented for applying the proper orthogonal decomposition (POD) technique for model reduction in computational inverse solution strategies for viscoelastic material characterization. POD is used to derive a basis of optimal dimension from a ...
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Journal ArticleStructural Health Monitoring 2009: From System Integration to Autonomous Systems - Proceedings of the 7th International Workshop on Structural Health Monitoring, IWSHM 2009 · January 1, 2009
The objective of this work is to develop a simulation environment to study corrosion induced damage in aluminum alloys. The computational framework includes coupling of electrostatics and stress evolution processes. The rate of corrosion is obtained by sol ...
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Journal ArticleAnnual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference · January 2009
Arterial elasticity has become a topic of importance in the past decades, as it has shown that it can be used to predict cardiovascular diseases and mortality. Several in vivo and ex vivo techniques have been developed to characterize the mechanical proper ...
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Journal ArticleComputer Methods in Applied Mechanics and Engineering · December 1, 2008
The current research seeks to demonstrate that an inverse solution approach, leveraging nonlinear finite element analysis with a divide and conquer type stochastic search algorithm, can identify the presence of localized denting imperfections in cylindrica ...
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Journal ArticleUltrasonics · November 2008
A numerical study is presented to show the potential for using vibroacoustic-based experiments to identify elastic material properties of orthotropic cylindrical vessels immersed in fluids. Sensitivity analyses and a simulated inverse problem are shown to ...
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Journal ArticleStructural Control and Health Monitoring · March 1, 2008
A new damage identification strategy is presented in which damage scenarios and optimal tests are searched simultaneously. The proposed strategy, called Estimation-Exploration Algorithm (EEA), is based on co-evolutionary principles. Co-evolution is a biolo ...
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Journal ArticleJOURNAL OF ENGINEERING MECHANICS-ASCE · December 2007
A study is presented herein on the simultaneous inverse identification of transient internal heat generation, transient thermal diffusivity, and constant convection coefficients. The formulations of the direct and inverse problems are presented in the cont ...
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Journal ArticleComputer Methods in Applied Mechanics and Engineering · September 15, 2007
An optimization algorithm is proposed which is applicable for the global optimization of computationally expensive functions with specific applications in material identification. The methodology, referred to as the Surrogate-Model Accelerated Random Searc ...
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Journal ArticleComputer Methods in Applied Mechanics and Engineering · September 1, 2007
This work presents an object-oriented design for reduced-order modeling using the proper orthogonal decomposition (POD) technique. Object-oriented design attributes such as data encapsulation, inheritance, and polymorphism are shown to produce efficient im ...
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Journal ArticleCement and Concrete Research · May 1, 2007
The transient thermal diffusivity in early-age, type I Portland cement mortars is difficult to quantify because the exothermic reactions cause significant heat generation which complicates the analysis of heat transfer. This paper outlines the theory and s ...
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Journal ArticleACI Structural Journal · May 1, 2007
This laboratory study concerns the use of carbon composites to restore the seismic effectiveness of corrosion-damaged reinforced concrete bridge columns with inadequate length lap-spliced reinforcement at their base and subjected to severe environmental co ...
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Journal ArticleJournal of Applied Physics · March 13, 2007
This work presents an approach to inversely determine material properties for solids immersed in fluids through the use of steady-state dynamic response. The methodology uses measured acoustic pressure amplitudes in the fluid surrounding a structure being ...
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Journal ArticleInternational Journal for Numerical Methods in Engineering · January 29, 2007
The problem of damage identification using minimum test data is studied in this work. Data sparsity in damage identification applications commonly results in inverse problems that are mathematically ill-posed (e.g. non-unique solutions). Although solution ...
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Journal ArticleSteel and Composite Structures · January 1, 2007
A finite element implementation of the modified compression field theory (MCFT) using a tangential formulation is presented in this work. Previous work reported on implementations of MCFT has concentrated mainly on secant formulations. This work describes ...
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Journal ArticleInternational Journal of Heat and Mass Transfer · July 1, 2006
In this work, a new methodology for inverse estimation of thermal constitutive models is introduced. This new methodology combines computational intelligence with finite element analysis for solving inverse heat transfer problems. A neural network (NN) rep ...
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Journal ArticleACI Materials Journal · July 1, 2004
The most common deterioration problems in reinforced concrete, such as corrosion, alkali-silica reaction, freezing and thawing, sulfate attack, and others, are associated with the presence of elevated moisture contents in the concrete microstructure. An an ...
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Journal ArticleProceedings of the ASCE International Conference on Pipeline Engineering and Construction: New Pipeline Technologies, Security, and Safety · January 1, 2003
The evaluation of cement mortar coatings on prestressed concrete cylinder pipes (PCCP) may include such techniques as petrographic examination, material testing, and environmental testing of soil and groundwater. Petrographic analysis includes a microscopi ...
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Journal ArticleCement and Concrete Composites · December 1, 2001
This investigation studies the influence of two mineral admixtures, silica fume (SF) and high-reactivity metakaolin (HRM), on the chemistry of alkali-silica reaction (ASR) products. Four different mortar bar mixes containing different combinations of high- ...
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