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Direct numerical simulation of hierarchical materials via homogenization-based concurrent multiscale models poses critical challenges for 3D large scale engineering applications, as the computation of highly nonlinear and path-dependent…

Computational Engineering, Finance, and Science · Computer Science 2022-12-29 Shiguang Deng

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

Numerical Analysis · Mathematics 2022-01-12 Thaís C. da Costa Haveroth , Geovane A. Haveroth , Marco L. Bittencourt , José L. Boldrini

A simple micromechanical model of polycrystalline materials is proposed, which enables us to swiftly produce grain-boundary-stress distributions induced by the uniform external loading (in the elastic strain regime). Such statistical…

Materials Science · Physics 2024-05-24 Timon Mede , Samir El Shawish

Assessing the synthesizability of inorganic materials is a grand challenge for accelerating their discovery using computations. Synthesis of a material is a complex process that depends not only on its thermodynamic stability with respect…

A field theory is presented for predicting damage and fracture in quasi brittle materials incorporating effects of irreversible (plastic) deformation as well as elastic moduli that soften with damage. The new observation made here is that…

Materials Science · Physics 2026-03-17 Hayden Bromley , Robert Lipton

Model-free data-driven computational mechanics replaces phenomenological constitutive functions by numerical simulations based on data sets of representative samples in stress-strain space. The distance of strain and stress pairs from the…

Computational Engineering, Finance, and Science · Computer Science 2021-11-29 Kerem Ciftci , Klaus Hackl

Determining the stability of chemical compounds is essential for advancing material discovery. In this study, we introduce a novel deep neural network model designed to predict a crystal's formation energy, which identifies its stability…

Materials Science · Physics 2026-04-21 V. Torlao , E. A. Fajardo

Meta-materials are an important emerging class of engineered materials in which complex macroscopic behaviour--whether electromagnetic, thermal, or mechanical--arises from modular substructure. Simulation and optimization of these materials…

Machine Learning · Computer Science 2020-05-18 Alex Beatson , Jordan T. Ash , Geoffrey Roeder , Tianju Xue , Ryan P. Adams

This paper proposes a multitask learning framework for probabilistic model updating by jointly using strain and acceleration measurements. This framework can enhance the structural damage assessment and response prediction of existing steel…

Applications · Statistics 2024-02-01 Taro Yaoyama , Tatsuya Itoi , Jun Iyama

We present a data-driven framework for the multiscale modeling of anisotropic finite strain elasticity based on physics-augmented neural networks (PANNs). Our approach allows the efficient simulation of materials with complex underlying…

Computational Engineering, Finance, and Science · Computer Science 2024-10-07 Karl A. Kalina , Jörg Brummund , WaiChing Sun , Markus Kästner

Soft materials such as rubber and hydrogels are commonly used in industry for their excellent hyperelastic behaviour. There are various types of constitutive models for soft materials, and phenomenological models are very popular for finite…

Soft Condensed Matter · Physics 2021-06-29 Shun Meng , Haroon Imtiaz , Bin Liu

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

We propose a simple and efficient scheme based on adaptive finite elements over conforming quadtree meshes for collapse plastic analysis of structures. Our main interest in kinematic limit analysis is concerned with both purely…

Computational Engineering, Finance, and Science · Computer Science 2019-03-11 H Nguyen-Xuan , Hien V Do , Khanh N Chau

Cellular solids and micro-lattices are a class of lightweight architected materials that have been established for their unique mechanical, thermal, and acoustic properties. It has been shown that by tuning material architecture, a…

Materials Science · Physics 2024-03-12 Shengzhi Luan , Enze Chen , Joel John , Stavros Gaitanaros

A consistent stress-driven nonlocal integral model for nonisothermal structural analysis of elastic nano- and microbeams is proposed. Most nonlocal models of literature are strain-driven and it was shown that such approaches can lead toward…

A central challenge in materials science is characterizing chemical processes that are elusive to direct measurement, particularly in functional materials operating under realistic conditions. Here, we demonstrate that mechanical strain…

Materials Science · Physics 2025-09-04 Royal C. Ihuaenyi , Hongbo Zhao , Ruqing Fang , Ruobing Bai , Martin Z. Bazant , Juner Zhu

In the paper, we present an integrated data-driven modeling framework based on process modeling, material homogenization, mechanistic machine learning, and concurrent multiscale simulation. We are interested in the injection-molded short…

Computational Engineering, Finance, and Science · Computer Science 2020-03-24 Zeliang Liu , Haoyan Wei , Tianyu Huang , C. T. Wu

Multi-phase materials, such as composite materials, exhibit multiple competing failure mechanisms during the growth of a macroscopic defect. For the simulation of the overall fracture process in such materials, we develop a two-phase spring…

Statistical Mechanics · Physics 2020-12-15 Rajat Pratap Singh Parihar , Dhiwakar V. Mani , Anuradha Banerjee , R. Rajesh

In the present work, a hyperelastic constitutive model based on neural networks is proposed which fulfills all common constitutive conditions by construction, and in particular, is applicable to compressible material behavior. Using…

Computational Engineering, Finance, and Science · Computer Science 2023-07-07 Lennart Linden , Dominik K. Klein , Karl A. Kalina , Jörg Brummund , Oliver Weeger , Markus Kästner

To obtain fast solutions for governing physical equations in solid mechanics, we introduce a method that integrates the core ideas of the finite element method with physics-informed neural networks and concept of neural operators. This…