On the Numerical Investigationsof the Stress—Strain Behavior of Materials Basedon the Isotropic Elasticity Model of the Multimodulus Media

V. A. Gasilov; M. V. Golovin

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On the Numerical Investigationsof the Stress—Strain Behavior of Materials Basedon the Isotropic Elasticity Model of the Multimodulus Media

机译：基于多模量介质各向同性弹性模型的材料应力应变行为数值研究

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The paper presents the multimodulus approach to the continuum mechanics problem. In the introduction, a number of multimodulus models are presented that were developed by V.P. Myasnikov for the isotropic elasticity case. The numerical finite–element approximation of the multimodulus equi-librium state equations forming the sophisticated Lame system is also considered. In the final part, the results of two–dimensional calculations of the stress–strain state for various multimodulus media such as steel, concrete, ceramics, and soil are presented. The effect is discussed of the influence of the different moduli in tension and compression on the strain intensity.

机译：本文提出了解决连续力学问题的多模方法。在介绍中，介绍了V.P.开发的许多多模模型。 Myasnikov用于各向同性弹性情况。还考虑了形成复杂Lame系统的多模平衡态方程的数值有限元逼近。在最后一部分中，给出了对多种多模量介质（如钢，混凝土，陶瓷和土壤）进行应力-应变状态的二维计算的结果。讨论了拉伸和压缩中不同模量对应变强度的影响。

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《Mathematical models and computer simulations》 |2009年第2期|共8页
作者
V. A. Gasilov; M. V. Golovin;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Investigations; Behavior; Materials Based;

机译：调查;行为;基于材料;

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1. On the Numerical Investigationsof the Stress—Strain Behavior of Materials Basedon the Isotropic Elasticity Model of the Multimodulus Media [J] . V. A. Gasilov, M. V. Golovin Mathematical models and computer simulations . 2009,第2期

机译：基于多模量介质各向同性弹性模型的材料应力应变行为数值研究
2. Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity [J] . Xiao H., Chen LS. Acta Mechanica . 2002,第1a4期

机译：各向同性有限超弹性中的Hencky弹性模型和线性应力-应变关系
3. Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity [J] . H. Xiao, L. S. Chen Acta Mechanica . 2002,第1a4期

机译：各向同性有限超弹性中的Hencky弹性模型和线性应力-应变关系
4. Linear elasticity with isotropic lognormal Young's modulus: localization of stresses and strains and effective stiffness tensor [C] . D. Veneziano Massachusetts Institute of Technology(MIT) Conference on Computational Fluid and Solid Mechanics 2003 v.1; 20030617-20030620; Cambridge,MA; US . 2003

机译：各向同性对数法向杨氏模量的线性弹性：应力和应变的局部化以及有效刚度张量
5. STRESS INTERFERENCE IN AXISYMMETRIC TORSION OF A TRANSVERSELY ISOTROPIC BODY (ELASTICITY, SOLID MECHANICS, ANISOTROPIC, STRESS CONCENTRATION) [D] . HEINRICH, STEPHEN MICHAEL 1985

机译：横向各向同性物体的轴对称扭转中的应力干扰（弹性，固体力学，各向异性，应力集中）
6. A General Approach to Derive Stress and Elasticity Tensors for Hyperelastic Isotropic and Anisotropic Biomaterials [O] . Jie Cheng, Lucy T. Zhang -1

机译：超弹性各向同性和各向异性生物材料的推导应力和弹性张量的通用方法
7. Internal states, stress-strain behavior and elasticity in oedometrically compressed model granular materials [O] . Khalili M.H., Roux J.-N, Pereira Jean-Michel, 2015

机译：测光压缩模型颗粒材料的内部状态，应力-应变行为和弹性
8. Localization Model of Rubber Elasticity and the Stress-Strain Behavior of a Network Formed by Cross-Linking a Deformed Melt II. Equibiaxial Extension and Pure Shear. [R] . Twardowski, T. E., Gaylord, R. J. 1989

机译：橡胶弹性定位模型及交联变形熔体网络的应力 - 应变行为II。等轴延伸和纯剪切。

On the Numerical Investigationsof the Stress—Strain Behavior of Materials Basedon the Isotropic Elasticity Model of the Multimodulus Media

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