ON CLASSICAL CONTINUUM MECHANICS, TWO-SCALE CONTINUA, AND PLASTICITY

被引：3

作者：

Del Piero, Gianpietro ^{[1
]}

机构：

[1] Univ Ferrara, Dipartimento Ingn, Ferrara, Italy

来源：

MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS | 2020年 / 8卷 / 03期

关键词：

foundations of mechanics; two-scale continua; reference frames; gradient plasticity; nonlocal flow rules; STRAIN-GRADIENT PLASTICITY; STRUCTURED DEFORMATIONS; VIRTUAL POWER; INTERFACIAL ENERGY; ELASTIC-MATERIALS; RELAXATION; FRAMEWORK; THEOREM;

D O I：

10.2140/memocs.2020.8.201

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The paper starts with a careful analysis of the kinematics of two-scale continua. The subsequent developments are based on a single additional concept, the concept of energy. Two basic axioms are formulated in energetic terms, and the stress tensors, the constitutive equations, and all other elements required for the formulation of the initial/boundary-value problem are regarded as derived quantities. A comparison with the theory of gradient plasticity shows the innovative aspects of the proposed theory.

引用

页码：201 / 231

页数：31

共 52 条

[11]

Del Piero G., 2017, MECANIQUE MILIEUX CO, P11

[12]

Del Piero G., 2014, CISM COURSES LECT, V556, P29

[13] A mechanical model for heat conduction [J].