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We present an experimental approach to discriminate models describing the mechanical behavior of polymeric materials. A biaxial loading condition is obtained in a multiaxial testing machine. An evaluation of the displacement field obtained…

经典物理 · 物理学 2015-06-26 Luc Chevalier , Sylvain Calloch , François Hild , Yann Marco

The accurate modeling of the mechanical behavior of rubber-like materials under multi-axial loading constitutes a long-standing challenge in hyperelastic material modeling. This work employs deep symbolic regression as an interpretable…

计算工程、金融与科学 · 计算机科学 2025-04-09 Rasul Abdusalamov , Mikhail Itskov

Understanding the fracture mechanics of soft solids remains a fundamental challenge due to their complex, nonlinear responses under large deformations. While multiaxial loading is key to probing their mechanical behavior, the role of such…

软凝聚态物质 · 物理学 2025-09-04 Miguel Angel Moreno-Mateos , Simon Wiesheier , Ali Esmaeili , Mokarram Hossain , Paul Steinmann

A Physics-Augmented Neural network is trained to model a hyperelastic behavior. The dataset used for the training, validation, and test are displacement-force couples obtained from two experiments on a rubber-like material. One experiment…

计算工程、金融与科学 · 计算机科学 2024-10-23 Clément Jailin , Antoine Benady , Emmanuel Baranger

In this paper, we describe a uniform and standardized approach for analytically verifying the stability of isotropic, incompressible hyperelastic material models. Here, we address {\sl stability} as fulfillment of the {\sc Hill} condition…

材料科学 · 物理学 2025-12-03 Herbert Baaser

We propose a general hybrid physics-informed machine learning framework for modeling nonlinear, history-dependent viscoelastic behavior under multiaxial cyclic loading. The approach is built on a generalized internal state variable-based…

软凝聚态物质 · 物理学 2025-07-18 Alireza Ostadrahimi , Amir Teimouri , Kshitiz Upadhyay , Guoqiang Li

We present an experimental apparatus specifically designed to investigate the precursors of failure in granular materials. A sample of granular material is placed between a latex membrane and a glass plate. A confining effective pressure is…

We present a material (strength) model for describing the deformation of PBX under quasistatic mechanical and thermal loadings. It is a viscoelastic-viscoplastic model incorporating the effects of pressure and temperature on the strength of…

应用物理 · 物理学 2019-12-30 Roman Kositski

The modelling of off-axis simple tension experiments on transversely isotropic nonlinearly elastic materials is considered. A testing protocol is proposed where normal force is applied to one edge of a rectangular specimen with the opposite…

软凝聚态物质 · 物理学 2020-09-07 Michel Destrade , Brian Mac Donald , Jerry Murphy , Giuseppe Saccomandi

We study mechanical behavior of soft rubber-like digital materials used in Polyjet multi-material 3D-printing to create deformable composite materials and flexible structures. These soft digital materials are frequently treated as linear…

软凝聚态物质 · 物理学 2017-10-17 Viacheslav Slesarenko , Stephan Rudykh

Extra-large deformations in ultra-soft elastic materials are ubiquitous, yet systematic studies and methods to understand the mechanics of such huge strains are lacking. Here we investigate this complex problem systematically with a simple…

材料科学 · 物理学 2017-01-04 Aditi Chakrabarti , Manoj K. Chaudhury , Serge Mora , Yves Pomeau

From biological organs to soft robotics, highly deformable materials are essential components of natural and engineered systems. These highly deformable materials can have heterogeneous material properties, and can experience heterogeneous…

机器学习 · 计算机科学 2023-08-31 Quan Nguyen , Emma Lejeune

Hyperelastic materials models are well established to describe the non-linear stress-strain relations of elastomers. In this paper, a polyurethane adhesive is considered as an exemplary material and subjected to tensile, compressive and…

软凝聚态物质 · 物理学 2018-05-29 Olaf Hesebeck , Andreas Wulf

The classical theory of rubber elasticity fails in the regime of large deformation. The un- derlying physical mechanism has been under debate for long time. In this work, we test the recently proposed mechanism of thermal elastic…

软凝聚态物质 · 物理学 2013-05-29 Xiangjun Xing

In this paper, we present a new procedure to automatically generate interpretable hyperelastic material models. This approach is based on symbolic regression which represents an evolutionary algorithm searching for a mathematical model in…

计算工程、金融与科学 · 计算机科学 2022-11-08 Rasul Abdusalamov , Markus Hillgärtner , Mikhail Itskov

We apply physics-augmented neural network (PANN) constitutive models to experimental uniaxial tensile data of rubber-like materials whose behavior depends on manufacturing parameters. For this, we conduct experimental investigations on a 3D…

计算工程、金融与科学 · 计算机科学 2025-01-07 Dominik K. Klein , Mokarram Hossain , Konstantin Kikinov , Maximilian Kannapinn , Stephan Rudykh , Antonio J. Gil

The development of accurate constitutive models for materials that undergo path-dependent processes continues to be a complex challenge in computational solid mechanics. Challenges arise both in considering the appropriate model assumptions…

机器学习 · 计算机科学 2023-02-22 Jan N. Fuhg , Craig M. Hamel , Kyle Johnson , Reese Jones , Nikolaos Bouklas

Inelastic mechanical responses in solids, such as plasticity, damage and crack initiation, are typically modeled in constitutive ways that display microstructural and loading dependence. Nevertheless, {linear} elasticity at infinitesimal…

应用物理 · 物理学 2019-12-23 Stefanos Papanikolaou

A constitutive model based on the combination of damage mechanics and plasticity is developed to analyse concrete structures subjected to dynamic loading. The aim is to obtain a model, which requires input parameters with clear physical…

材料科学 · 物理学 2011-03-09 Peter Grassl , Ulrika Nystrom , Rasmus Rempling , Kent Gylltoft

Stochastic homogeneous hyperelastic solids are characterised by strain-energy densities where the parameters are random variables defined by probability density functions. These models allow for the propagation of uncertainties from input…

经典物理 · 物理学 2019-08-13 L. Angela Mihai , Danielle Fitt , Thomas E. Woolley , Alain Goriely
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