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In all structural models, the section or fiber response is a relation between the strain measures and the stress resultants. This relation can only be expressed in a simple analytical form when the material response is linear elastic. For…

经典物理 · 物理学 2020-03-18 David Portillo , Bastian Oesterle , Rebecca Thierer , Manfred Bischoff , Ignacio Romero

We present a new approach to the modelling of stress propagation in static granular media, focussing on the conical sandpile constructed from a point source. We view the medium as consisting of cohesionless hard particles held up by static…

凝聚态物理 · 物理学 2016-08-31 J. P. Wittmer , M. E. Cates , P. Claudin

Bayesian model updating facilitates the calibration of analytical models based on observations and the quantification of uncertainties in model parameters such as stiffness and mass. This process significantly enhances damage assessment and…

应用统计 · 统计学 2024-08-06 Taro Yaoyama , Tatsuya Itoi , Jun Iyama

Stress-stress correlations in crystalline solids with long-range order can be straightforwardly derived using elasticity theory. In contrast, the `emergent elasticity' of amorphous solids, rigid materials characterized by an underlying…

软凝聚态物质 · 物理学 2025-07-04 Jimin Bai , Long-Zhou Huang , Jin Shang , Yun-Jiang Wang , Jie Zhang , Matteo Baggioli

Progress is reported on several questions that bedevil understanding of granular systems: (i) are the stress equations elliptic, parabolic or hyperbolic? (ii) how can the often-observed force chains be predicted from a first-principles…

软凝聚态物质 · 物理学 2009-11-10 Raphael Blumenfeld

We present a minimalistic approach to simulations of force transmission through granular systems. We start from a configuration containing cohesive (tensile) contact forces and use an adaptive procedure to find the stable configuration with…

软凝聚态物质 · 物理学 2009-10-31 Alexei V. Tkachenko , Thomas A. Witten

The velocities of the same fluid particle observed in two different reference systems are two different quantities and they are not equal when the two reference systems have translational and rotational movements relative to each other.…

数学物理 · 物理学 2014-01-03 Jun Li

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

In the classical theory of fluid mechanics a linear relationship between the shear stress and the symmetric velocity gradient tensor is often assumed. Even when a nonlinear relationship is assumed, it is typically formulated in terms of an…

数值分析 · 数学 2019-12-20 Patrick E. Farrell , Pablo Alexei Gazca-Orozco , Endre Süli

It is stated in the main in essence new approach to mechanics of the stressed state of the solid body from statistically isotropic material and the homogeneous liquid dynamics. The approach essence is in the detected property of the…

流体动力学 · 物理学 2008-09-25 S. L. Arsenjev

Active materials are media for which deformations can occur in absence of loads, given an external stimulus. Two approaches to the modeling of such materials are mainly used in literature, both based on the introduction of a new tensor: an…

软凝聚态物质 · 物理学 2022-12-07 Giulia Giantesio , Alessandro Musesti , Davide Riccobelli

A novel data-driven constitutive modeling approach is proposed, which combines the physics-informed nature of modeling based on continuum thermodynamics with the benefits of machine learning. This approach is demonstrated on…

计算工程、金融与科学 · 计算机科学 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

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…

机器学习 · 统计学 2026-04-15 Vincent C. Scholz , P. S. Koutsourelakis

There is a large variety of concepts used to generalize the classical Prandtl-Reuss relations of infinitesimal elasto-plasticity to finite strains. In this work, some basic approaches are compared in a qualitative way with respect to a…

材料科学 · 物理学 2014-08-21 A. V. Shutov , J. Ihlemann

A granular assembly composed of a collection of identical grains may pack under different microscopic configurations with microscopic features that are sensitive to the preparation history. A given configuration may also change in response…

软凝聚态物质 · 物理学 2009-11-10 A. P. F. Atman , P. Brunet , J. Geng , G. Reydellet , G. Combe , P. Claudin , R. P. Behringer , E. Clément

During morphogenesis, the shape of a tissue emerges from collective cellular behaviors, which are in part regulated by mechanical and biochemical interactions between cells. Quantification of force and stress is therefore necessary to…

组织与器官 · 定量生物学 2014-02-19 K. Sugimura , Y. Bellaïche , F. Graner , P. Marcq , S. Ishihara

In continuum mechanics, stress concept plays an essential role. For complicated materials, different stress concepts are used with ambiguity or different understanding. Geometrically, a material element is expressed by a closed region with…

综合物理 · 物理学 2010-12-27 Xiao Jianhua

Time pressure and question difficulty can trigger stress and cognitive overload in web-based surveys, compromising data quality and user experience. Most stress detection methods are based on low-resolution self-reports, which are poorly…

We propose a theoretical framework for dealing with a transient polymer network undergoing small deformations, based on the rate of breaking and re-forming of network crosslinks and the evolving elastic reference state. In this framework,…

软凝聚态物质 · 物理学 2016-04-27 Fanlong Meng , Robyn H. Pritchard , Eugene M. Terentjev

Residual stress is ubiquitous and indispensable in most biological and artificial materials, where it sustains and optimizes many biological and functional mechanisms. The theory of volume growth, starting from a stress-free initial state,…

组织与器官 · 定量生物学 2019-06-04 Yangkun Du , Chaofeng Lü , Michel Destrade , Weiqiu Chen