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To date, the simulation of organ deformations for applications like therapy planning or image-guided interventions is calculated by solving the elastodynamics equations. While efficient solvers have been proposed for fast simulations,…

Quantitative Methods · Quantitative Biology 2018-12-18 Felix Meister , Tiziano Passerini , Viorel Mihalef , Ahmet Tuysuzoglu , Andreas Maier , Tommaso Mansi

We propose a neural network framework to preclude the need to define or observe incompletely or inaccurately defined states of a material in order to describe its response. The neural network design is based on the classical Coleman-Gurtin…

Computational Physics · Physics 2021-11-30 R. E. Jones , A. L. Frankel , K. L. Johnson

Incorporating scientific knowledge into deep learning (DL) models for materials-based simulations can constrain the network's predictions to be within the boundaries of the material system. Altering loss functions or adding physics-based…

Materials Science · Physics 2024-05-24 Ashley Lenau , Dennis M. Dimiduk , Stephen R. Niezgoda

Discrete mesoscale network models, in which explicitly modeled polymer chains are replaced by implicit pairwise potentials, are capable of predicting the macroscale mechanical response of polymeric materials such as elastomers and gels,…

Soft Condensed Matter · Physics 2024-07-16 Robert J. Wagner , Meredith N. Silberstein

We present a machine learning framework to train and validate neural networks to predict the anisotropic elastic response of the monoclinic organic molecular crystal $\beta$-HMX in the geometrical nonlinear regime. A filtered molecular…

Computational Engineering, Finance, and Science · Computer Science 2021-12-06 Nikolaos N. Vlassis , Puhan Zhao , Ran Ma , Tommy Sewell , WaiChing Sun

Athermal models of disordered fibrous networks are highly useful for studying the mechanics of elastic networks composed of stiff biopolymers. The underlying network architecture is a key aspect that can affect the elastic properties of…

Soft Condensed Matter · Physics 2016-01-20 Albert James Licup , Abhinav Sharma , Fred C. MacKintosh

Coarse-grained modeling in molecular simulations serves not only to extend accessible time and length scales beyond atomistic limits, but also to reduce high-dimensional chemical data to low-dimensional representations that expose the…

Chemical Physics · Physics 2026-05-19 Michael N. Sakano , Alejandro Strachan

Design and analysis of inelastic materials requires prediction of physical responses that evolve under loading. Numerical simulation of such behavior using finite element (FE) approaches can call for significant time and computational…

Materials Science · Physics 2025-07-08 Indrashish Saha , Ashwini Gupta , Lori Graham-Brady

In this work, we present a deep neural network architecture that can efficiently approximate classical elasto-plastic constitutive relations. The network is enriched with crucial physics aspects of classical elasto-plasticity, including…

Machine Learning · Computer Science 2022-04-27 Mahdad Eghbalian , Mehdi Pouragha , Richard Wan

Simulation and modeling are essential in product development, integrated into the design and manufacturing process to enhance efficiency and quality. They are typically represented as complex nonlinear differential algebraic equations. The…

Machine Learning · Computer Science 2026-03-25 Wenqiang Yang , Wenyuan Wu , Yong Feng , Changbo Chen

The calibration of solid constitutive models with full-field experimental data is a long-standing challenge, especially in materials which undergo large deformation. In this paper, we propose a physics-informed deep-learning framework for…

Machine Learning · Computer Science 2022-04-01 Craig M. Hamel , Kevin N. Long , Sharlotte L. B. Kramer

A physics-informed neural network is presented for poroelastic problems with coupled flow and deformation processes. The governing equilibrium and mass balance equations are discussed and specific derivations for two-dimensional cases are…

Computational Engineering, Finance, and Science · Computer Science 2020-10-30 Yared W. Bekele

Resistance spot welding is the dominant joining process for the body-in-white in the automotive industry, where the weld nugget diameter is the key quality metric. Its measurement requires destructive testing, limiting the potential for…

Machine Learning · Computer Science 2026-01-27 Jan A. Zak , Christian Weißenfels

Nowadays, interest in combining mathematical knowledge about phenomena and data from the physical system is growing. Past research was devoted to developing so-called high-fidelity models, intending to make them able to catch most of the…

Numerical Analysis · Mathematics 2025-02-20 Stefano Riva , Carolina Introini , Antonio Cammi

Successful soft robot modeling approaches appearing in recent literature have been based on a variety of distinct theories, including traditional robotic theory, continuum mechanics, and machine learning. Though specific modeling techniques…

Robotics · Computer Science 2019-02-04 Audrey Sedal , Alan Wineman , R Brent Gillespie , C David Remy

This paper introduces for the first time, to our knowledge, a framework for physics-informed neural networks in power system applications. Exploiting the underlying physical laws governing power systems, and inspired by recent developments…

Systems and Control · Electrical Eng. & Systems 2020-01-30 George S. Misyris , Andreas Venzke , Spyros Chatzivasileiadis

This study aims to predict the spatio-temporal evolution of physical quantities observed in multi-layered display panels subjected to the drop impact of a ball. To model these complex interactions, graph neural networks have emerged as…

Computational Physics · Physics 2024-11-05 Jiyong Kim , Jangseop Park , Nayong Kim , Younyeol Yu , Kiseok Chang , Chang-Seung Woo , Sunwoong Yang , Namwoo Kang

We compute effective energies of thin bilayer structures composed by soft nematic elastic-liquid crystals in various geometrical regimes and functional configurations. Our focus is on order-strain interaction in elastic foundations composed…

Analysis of PDEs · Mathematics 2021-03-12 Pierluigi Cesana , Andres A Leon Baldelli

Liquid crystal elastomers represent a novel class of programmable shape-transforming materials whose shape change trajectory is encoded in the material's nematic director field. Using three-dimensional nonlinear finite element…

Soft Condensed Matter · Physics 2016-02-16 Andrew Konya , Vianney Gimenez-Pinto , Robin Selinger

Soft actuators offer a safe, adaptable approach to tasks like gentle grasping and dexterous manipulation. Creating accurate models to control such systems however is challenging due to the complex physics of deformable materials. Accurate…

Robotics · Computer Science 2022-07-19 Manu Lahariya , Craig Innes , Chris Develder , Subramanian Ramamoorthy