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Inspired by experiments on the actin driven propulsion of micrometer sized beads we develop and study a minimal mechanical model of a two-dimensional network of stiff elastic filaments grown from the surface of a cylinder. Starting out from…

软凝聚态物质 · 物理学 2010-11-16 Denis Caillerie , Karin John , Chaouqi Misbah , Philippe Peyla , Annie Raoult

A modeling of the soil structure and surface roughness by means of the concepts of the fractal growth is presented. Two parameters are used to control the model: the fragmentation dimension, $D_f$, and the maximum mass of the deposited…

统计力学 · 物理学 2007-05-23 A. P. F. Atman , J. G. Vivas Miranda , A. Paz Gonzalez , J. G. Moreira

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

In the present work, the applicability of physics-augmented neural network (PANN) constitutive models for complex electro-elastic finite element analysis is demonstrated. For the investigations, PANN models for electro-elastic material…

计算工程、金融与科学 · 计算机科学 2024-02-13 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

A new type of elasticity of random (multifractal) structures is suggested. A closed system of constitutive equations is obtained on the basis of two proposed phenomenological laws of reversible deformations of multifractal structures. The…

材料科学 · 物理学 2007-05-23 Alexander S. Balankin

In the dynamic analysis of structural engineering systems, it is common practice to introduce damping models to reproduce experimentally observed features. These models, for instance Rayleigh damping, account for the damping sources in the…

计算工程、金融与科学 · 计算机科学 2015-03-25 Pierre Jehel , Régis Cottereau

The discrete element method constitutes a general class of modeling techniques to simulate the microscopic behavior (i.e. at the particle scale) of granular/soil materials. We present a contact dynamics method, accounting for the cohesive…

软凝聚态物质 · 物理学 2011-07-18 Dirk Kadau , Jose S. Andrade , Hans J. Herrmann

Twisting and bending deformations are crucial to the biological functions of microfilaments such as DNA molecules. Although continuum-rod models have emerged as efficient tools to describe the nonlinear dynamics of these deformations, a…

计算物理 · 物理学 2015-03-13 Adam R. Hinkle , Sachin Goyal , Harish J. Palanthandalam-Madapusi

A mechanical model is introduced for predicting the initiation and evolution of complex fracture patterns without the need for a damage variable or law. The model, a continuum variant of Newton's second law, uses integral rather than…

偏微分方程分析 · 数学 2016-02-02 Robert Lipton , Stewart Silling , Richard Lehoucq

A multiphasic constitutive model of the skin that implicitly accounts for the process of intrinsic (i.e.\ chronological) ageing via variation of the constitutive parameters is proposed. The structurally-motivated constitutive formulation…

生物物理 · 物理学 2018-01-18 D Pond , A McBride , L Davids , B D Reddy , G Limbert

A constitutive relation between stress and strain relative to a reference state is the basic assumption of elasticity theory. However, in living matter, force generation is governed by motor molecule activity, which does not depend on…

软凝聚态物质 · 物理学 2026-03-17 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on these invariants. Here we introduce a new data-driven…

软凝聚态物质 · 物理学 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

The understanding of morphogenesis in living organisms has been renewed by tremendous progressin experimental techniques that provide access to cell-scale, quantitative information both on theshapes of cells within tissues and on the genes…

生物物理 · 物理学 2015-09-30 Sham Tlili , Cyprien Gay , Francois Graner , Philippe Marcq , François Molino , Pierre Saramito

Flexoelectricity is characterised by the coupling of the gradient of the deformation and the electrical polarization in a dielectric material. A novel micromorphic approach is presented to accommodate the resulting higher-order gradient…

经典物理 · 物理学 2023-07-19 Andrew McBride , Denis Davydov , Paul Steinmann

Topological mechanical metamaterials have enabled new ways to control stress and deformation propagation. Exemplified by Maxwell lattices, they have been studied extensively using a linearized formalism. Herein, we study a two-dimensional…

This article concludes a three-part series developing a self-consistent theoretical framework of the electromechanics of lipid membranes at the continuum scale. Owing to their small thickness, lipid membranes are commonly modeled as…

软凝聚态物质 · 物理学 2025-02-26 Yannick A. D. Omar , Zachary G. Lipel , Kranthi K. Mandadapu

In this paper we introduce a novel approach to obtain the stored energy density of rubber-like materials directly from experimental data. The model is structure-based, in which the only assumption is the existence of an isotropic…

材料科学 · 物理学 2020-07-14 Victor Jesús Amores , José María Benítez , Francisco Javier Montáns

Understanding structure-property relations is essential to optimally design materials for specific applications. Two-scale simulations are often employed to analyze the effect of the microstructure on a component's macroscopic properties.…

计算工程、金融与科学 · 计算机科学 2022-10-25 Theron Guo , Francesco A. B. Silva , Ondřej Rokoš , Karen Veroy

This paper presents a theory for the behaviour of isotropic-hardening/softening elastoplastic materials that do not have a preferred reference configuration. In spite of important differences, many ingredients of classical plasticity are…

数学物理 · 物理学 2011-01-11 José Jorge Nader

Compacted unbound granular materials are extensively used as sub-layer in pavement design. Most pavement design guides assume that they are responsible for the degradation and deformation of the roads and railways that they support. Biaxial…

材料科学 · 物理学 2016-08-16 R. García-Rojo , H. J. Herrmann