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Biological soft tissues exhibit substantial inter-subject variability, making the automation of constitutive material modeling essential for patient-specific analysis and design. Such materials are not only highly nonlinear but also display…

Computational Physics · Physics 2026-04-16 Bahador Bahmani

The present paper proposes a novel Bayesian, computational strategy in the context of model-based inverse problems in elastostatics. On one hand we attempt to provide probabilistic estimates of the material properties and their spatial…

Computation · Statistics 2015-12-21 P. S. Koutsourelakis

Constitutive models play a crucial role in materials science as they describe the behavior of the materials in mathematical forms. Over the last few decades, the rapid development of manufacturing technologies have led to the discovery of…

Materials Science · Physics 2024-10-17 Xinxin Wu , Yin Zhang , Sheng Mao

This paper presents a probabilistic surrogate model for the accelerated design of electric vehicle battery enclosures with a focus on crash performance. The study integrates high-throughput finite element simulations and Gaussian Process…

Machine Learning · Computer Science 2024-08-08 Shadab Anwar Shaikh , Harish Cherukuri , Kranthi Balusu , Ram Devanathan , Ayoub Soulami

Constitutive model discovery refers to the task of identifying an appropriate model structure, usually from a predefined model library, while simultaneously inferring its material parameters. The data used for model discovery are measured…

Machine Learning · Computer Science 2026-01-27 David Anton , Henning Wessels , Ulrich Römer , Alexander Henkes , Jorge-Humberto Urrea-Quintero

The high-fidelity characterization of soft, tissue-like materials under ultra-high-strain-rate conditions is critical in engineering and medicine. Still, it remains challenging due to limited optical access, sensitivity to initial…

Within the scope of our recent approach for Efficient Unsupervised Constitutive Law Identification and Discovery (EUCLID), we propose an unsupervised Bayesian learning framework for discovery of parsimonious and interpretable constitutive…

Computational Engineering, Finance, and Science · Computer Science 2022-10-24 Akshay Joshi , Prakash Thakolkaran , Yiwen Zheng , Maxime Escande , Moritz Flaschel , Laura De Lorenzis , Siddhant Kumar

Commonly used linear and nonlinear constitutive material models in deformation simulation contain many simplifications and only cover a tiny part of possible material behavior. In this work we propose a framework for learning customized…

Graphics · Computer Science 2020-10-27 Bin Wang , Yuanmin Deng , Paul Kry , Uri Ascher , Hui Huang , Baoquan Chen

Concurrent multiscale finite element analysis (FE2) is a powerful approach for high-fidelity modeling of materials for which a suitable macroscopic constitutive model is not available. However, the extreme computational effort associated…

Numerical Analysis · Mathematics 2020-07-16 I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

Surrogate models provide a quick-to-evaluate approximation to complex computational models and are essential for multi-query problems like design optimisation. The inputs of current deterministic computational models are usually…

Applications · Statistics 2024-10-15 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

Inferring the mechanical properties of soft tissues from measured deformations is a fundamental challenge in elastography. A rarely examined assumption underlying existing approaches is that the assumed constitutive law correctly describes…

Machine Learning · Statistics 2026-04-15 Vincent C. Scholz , P. S. Koutsourelakis

Thin fiber networks are widely represented in nature and can be found in man-made materials such as paper and packaging. The strength of such materials is an intricate subject due to inherited randomness and size-dependencies. Direct…

Materials Science · Physics 2021-10-19 Rami Mansour , Artem Kulachenko , Wei Chen , Mårten Olsson

Computational simulation is increasingly relied upon for high-consequence engineering decisions, and a foundational element to solid mechanics simulations, such as finite element analysis (FEA), is a credible constitutive or material model.…

Computational Engineering, Finance, and Science · Computer Science 2023-10-30 Denielle Ricciardi , Tom Seidl , Brian Lester , Amanda Jones , Elizabeth Jones

In the present work, two machine learning based constitutive models for finite deformations are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic and fulfill the polyconvexity condition, which implies…

Materials Science · Physics 2021-11-29 Dominik K. Klein , Mauricio Fernández , Robert J. Martin , Patrizio Neff , Oliver Weeger

In the present study, a numerical method based on a metaheuristic parametric algorithm has been developed to identify the constitutive parameters of hyperelastic models, by using FE simulations and full kinematic field measurements. The…

Classical Physics · Physics 2019-07-08 G Bastos , A Tayeb , N. Di Cesare , Jean-Benoit Le Cam , E Robin

From a pool of admissible designs, we aim to identify a structure that achieves a target macroscopic stress response. For each candidate, the response is obtained from a high-fidelity oracle, such as expensive computational homogenization…

Computational Engineering, Finance, and Science · Computer Science 2026-05-12 Hooman Danesh , Henning Wessels

Data-driven constitutive modeling is an emerging field in computational solid mechanics with the prospect of significantly relieving the computational costs of hierarchical computational methods. Traditionally, these surrogates have been…

Computational Engineering, Finance, and Science · Computer Science 2022-04-20 Jan Niklas Fuhg , Nikolaos Bouklas

Macroscopically heterogeneous materials, characterised mostly by comparable heterogeneity lengthscale and structural sizes, can no longer be modelled by deterministic approach instead. It is convenient to introduce stochastic approach with…

Computational Engineering, Finance, and Science · Computer Science 2014-02-07 Jan Sýkora , Anna Kučerová

Data-driven surrogate models offer quick approximations to complex numerical and experimental systems but typically lack uncertainty quantification, limiting their reliability in safety-critical applications. While Bayesian methods provide…

The paper proposes a method of damage detection in elastic materials, which is based on analyzing the time-dependent (dynamic) response of the material excited by an acoustic signal. A case study is presented consisting of experimental…

Signal Processing · Electrical Eng. & Systems 2019-12-24 Michael Oberguggenberger , Martin Schwarz
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