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The estimation of patient-specific tissue properties in the form of model parameters is important for personalized physiological models. However, these tissue properties are spatially varying across the underlying anatomical model,…

Machine Learning · Statistics 2020-05-19 Jwala Dhamala , Sandesh Ghimire , John L. Sapp , B. Milan Horácek , Linwei Wang

We study an optimal transportation approach for recovering parameters in dynamical systems with a single smoothly varying attractor. We assume that the data is not sufficient for estimating time derivatives of state variables but enough to…

Dynamical Systems · Mathematics 2022-04-12 Yunan Yang , Levon Nurbekyan , Elisa Negrini , Robert Martin , Mirjeta Pasha

To evaluate the cyclic behavior under different loading conditions using the kinematic and isotropic hardening theory of steel, a Chaboche viscoplastic material model is employed. The parameters of a constitutive model are usually…

Computational Engineering, Finance, and Science · Computer Science 2019-06-19 Ehsan Adeli , Bojana Rosić , Hermann G. Matthies , Sven Reinstädler

Mesoscale simulations of woven composites using parameterized analytical geometries offer a way to connect constituent material properties and their geometric arrangement to effective composite properties and performance. However, the…

Materials Science · Physics 2023-02-21 Collin W. Foster , Lincoln N. Collins , Francesco Panerai , Scott A. Roberts

Computational chemistry has become an important tool to predict and understand molecular properties and reactions. Even though recent years have seen a significant growth in new algorithms and computational methods that speed up quantum…

Chemical Physics · Physics 2023-07-26 Albert Thie , Maximilian F. S. J. Menger , Shirin Faraji

In this work, we present a novel approach to process the DIC measurements of multiple biaxial stretching protocols. In particular, we develop a optimization-based approach, which calculates the smoothed nodal displacements using a moving…

Image and Video Processing · Electrical Eng. & Systems 2025-05-27 Jihong Wang , Chung-Hao Lee , William Richardson , Yue Yu

Process-structure-property relationships are fundamental in materials science and engineering and are key to the development of new and improved materials. Symbolic regression serves as a powerful tool for uncovering mathematical models…

Materials Science · Physics 2025-11-12 Evgeniya Kabliman , Gabriel Kronberger

In this paper, we consider the intensity-based inversion method (IIM) for quantitative material parameter estimation in quasi-static elastography. In particular, we consider the problem of estimating the material parameters of a given…

Numerical Analysis · Mathematics 2026-01-19 Ekaterina Sherina , Simon Hubmer

An efficient computational approach for optimal reconstruction of binary-type images suitable for models in various applications including biomedical imaging is developed and validated. The methodology includes derivative-free optimization…

Optimization and Control · Mathematics 2022-09-27 Paul R. Arbic , Vladislav Bukshtynov

This paper studies the inverse problem related to the identification of the flexural stiffness of an Euler Bernoulli beam in order to reconstruct its profile starting from available response data. The proposed identification procedure makes…

Computational Engineering, Finance, and Science · Computer Science 2019-07-09 A. Greco , A. Pluchino , S. Caddemi , I. Caliò , F. Cannizzaro

This study presents a methodology to treat performance-based seismic design as an inverse engineering problem, where design parameters are directly derived to achieve specific performance objectives. By implementing explainable machine…

Machine Learning · Computer Science 2025-08-04 Mohsen Zaker Esteghamati

In order to accelerate implementation of hyperelastic materials for finite element analysis, we developed an automatic numerical algorithm that only requires the strain energy function. This saves the effort on analytical derivation and…

Computational Engineering, Finance, and Science · Computer Science 2016-09-20 Yuxiang Wang , Gregory J. Gerling

The superelastic constitutive model implemented in the commercial finite element code ABAQUS is verified using the method of exact solutions (MES). An analytical solution for uniaxial strain is first developed under a set of simplifying…

Computational Engineering, Finance, and Science · Computer Science 2023-05-31 Kenneth I. Aycock , Nuno Rebelo , Brent A. Craven

Identifying the parameters of robotic systems, such as motor inertia or joint friction, is critical to satisfactory controller synthesis, model analysis, and observer design. Conventional identification techniques are designed primarily for…

Robotics · Computer Science 2024-08-19 Bohao Zhang , Daniel Haugk , Ram Vasudevan

The forward problems of pattern formation have been greatly empowered by extensive theoretical studies and simulations, however, the inverse problem is less well understood. It remains unclear how accurately one can use images of pattern…

Computational Physics · Physics 2021-04-07 Hongbo Zhao , Richard D. Braatz , Martin Z. Bazant

We develop a new neural network architecture that strictly enforces constitutive constraints such as polyconvexity, frame-indifference, and the symmetry of the stress and material stiffness. Additionally, we show that the accuracy of the…

Biological Physics · Physics 2024-12-05 Nishan Parvez , Jacob S. Merson

This article proposes an optimization framework, based on Genetic Algorithms (GA), to calibrate the constitutive law of von Wolffersdorff. This constitutive law is known as Sand Hypoplasticity (SH), and allows for robust and accurate…

Computational Engineering, Finance, and Science · Computer Science 2020-06-16 Francisco J. Mendez , Antonio Pasculli , Miguel A. Mendez , Nicola Sciarra

Dynamic Contrast-enhanced Magnetic Resonance Imaging (DCE-MRI) is an important tool for detecting subtle kinetic changes in cancerous tissue. Quantitative analysis of DCE-MRI typically involves the convolution of an arterial input function…

Applications · Statistics 2020-04-22 Volker J. Schmid , Brandon Whitcher , Anwar R. Padhani , Guang-Zhong Yang

This work presents a new meta-heuristic approach to model structure selection of polynomial NARX models. In this respect, the technique penalizes the models based on the individual contribution of each regressor in representing the system.…

Systems and Control · Electrical Eng. & Systems 2019-11-14 W. R. Lacerda Junior , S. A. M. Martins , E. G. Nepomuceno

Designing Zero-Emissions Buildings (ZEBs) involves balancing numerous complex objectives that traditional methods struggle to address. Fenestration, encompassing fa\c{c}ade openings and shading systems, plays a critical role in ZEB…

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