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Two approaches to incorporate heterogeneity in discrete models are compared. In the first, standard approach, the heterogeneity is dictated by geometrical structure of the discrete system. In the second approach, the heterogeneity is…

计算工程、金融与科学 · 计算机科学 2025-06-26 Jan Raisinger , Qiwei Zhang , John E. Bolander , Jan Eliáš

The presence of prestrain can have a tremendous effect on the mechanical behavior of slender structures. Prestrained elastic plates show spontaneous bending in equilibrium -- a property that makes such objects relevant for the fabrication…

偏微分方程分析 · 数学 2023-01-18 Klaus Böhnlein , Stefan Neukamm , David Padilla-Garza , Oliver Sander

In this contribution, we present a new Materials Knowledge System framework for microstructure-sensitive predictions of effective stress--strain responses in composite materials. The model is developed for composites with a wide range of…

材料科学 · 物理学 2018-12-17 Marat I. Latypov , Laszlo S. Toth , Surya R. Kalidindi

Elasto-plastic models are among the most successful ways to study the critical properties of the plastic yielding transition of amorphous solids. Typically these models are studied under a condition of constant transition rates from one…

统计力学 · 物理学 2017-12-05 E. A. Jagla

Critically elastic materials - those that are rigid with a single state of self-stress - can be generated from parent systems with two states of self-stress by the removal of one of many constraints. We show that the elastic moduli of the…

软凝聚态物质 · 物理学 2025-09-23 Hongryol Jeon , Mahdi Sadjadi , Varda F. Hagh

Sheared multi-component bulk metallic glasses are characterized by both chemical and structural disorder that define their properties. We investigate the behavior of the local, microstructural elastic modulus across the plastic yielding…

材料科学 · 物理学 2022-07-28 Kamran Karimi , Mikko J. Alava , Stefanos Papanikolaou

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

We determine the effective behavior of a class of composites in finite-strain crystal plasticity, based on a variational model for materials made of fine parallel layers of two types. While one component is completely rigid in the sense…

偏微分方程分析 · 数学 2016-04-13 Fabian Christowiak , Carolin Kreisbeck

Deformation of crystalline materials is an interesting example of complex system behaviour. Small samples typically exhibit a stochastic-like, irregular response to externally applied stresses, manifested as significant sample-to-sample…

计算物理 · 物理学 2023-08-30 Marcin Mińkowski , Lasse Laurson

Predicting the behaviour of complex systems is one of the main goals of science. An important example is plastic deformation of micron-scale crystals, a process mediated by collective dynamics of dislocations, manifested as broadly…

材料科学 · 物理学 2022-06-03 Marcin Mińkowski , David Kurunczi-Papp , Lasse Laurson

In this paper, we study the preferential stiffness and the crack-tip fields for an elastic porous solid of which material properties are dependent upon the density. Such a description is necessary to describe the failure that can be caused…

数值分析 · 数学 2022-12-19 Hyun C. Yoon , S. M. Mallikarjunaiah , Dambaru Bhatta

Elastoplastic lattice models for the response of solids to deformation typically incorporate structure only implicitly via a local yield strain that is assigned to each site. However, the local yield strain can change in response to a…

A general model is formulated for elasto-plastic materials undergoing linear kinematic hardening to describe microstructure evolution associated with phase transformations. Using infinitesimal strain theory, the model is based on…

计算工程、金融与科学 · 计算机科学 2026-02-20 Sarah Dinkelacker-Steinhoff , Klaus Hackl

The evolution of metals micro/nano-structure upon severe plastic deformation (SPD) is still far to be theoretically explained, while experimental datasets are persistently growing. Major problem associated with understanding of SPD is a…

The elastoplastic behavior of a two-phase stainless steel alloy is explored at the crystal scale for five levels of stress biaxiality. The crystal lattice (elastic) strains were measured with neutron diffraction using tubular samples…

材料科学 · 物理学 2017-07-24 Andrew C. Poshadel , Michael Gharghouri , Paul R. Dawson

Localization of plastic strain induced by softening can be objectively described by a regularized plasticity model that postulates a dependence of the current yield stress on a nonlocal softening variable defined by a differential…

材料科学 · 物理学 2012-02-02 Milan Jirasek , Jan Zeman , Jaroslav Vondrejc

The complex incremental behavior of granular materials is explored with multi-directional loading probes. An advanced discrete element model (DEM) was used to examine the reversible and irreversible strains for small loading probes, which…

软凝聚态物质 · 物理学 2018-12-20 Matthew R. Kuhn , Ali Daouadji

In the presented research, the intergranular elastic interaction and the second-order plastic incompatibility stress in textured ferritic and austenitic steels were investigated by means of diffraction. The lattice strains were measured…

A novel general purpose Finite Element framework is presented to study small-scale metal plasticity. A distinct feature of the adopted distortion gradient plasticity formulation, with respect to strain gradient plasticity theories, is the…

材料科学 · 物理学 2017-11-16 Emilio Martínez-Pañeda , Christian F. Niordson , Lorenzo Bardella

Spatial heterogeneity in the elastic properties of soft random solids is investigated via a two-pronged approach. First, a nonlocal phenomenological model for the elastic free energy is examined. This features a quenched random kernel,…

无序系统与神经网络 · 物理学 2011-12-06 Xiaoming Mao , Paul M. Goldbart , Xiangjun Xing , Annette Zippelius
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