Multi-field approach in mechanics of structural solids

被引：36

作者：

Vasiliev, A. A. ^{[2
]}

Dmitriev, S. V. ^{[3
]}

Miroshnichenko, A. E. ^{[1
]}

机构：

[1] Australian Natl Univ, Res Sch Phys Sci & Engn, Nonlinear Phys Ctr, Canberra, ACT 0200, Australia

[2] Tver State Univ, Dept Math Modelling, Tver 170002, Russia

[3] RAS, Inst Met Superplast Problems, Ufa 450001, Russia

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2010年 / 47卷 / 3-4期

关键词：

Generalized continuum theory; Multi-field theory; Structural solids; GRADIENT ELASTICITY; WAVE-PROPAGATION; CONTINUUM MODEL; DOMAIN-WALLS; DEFORMATION; DERIVATION;

D O I：

10.1016/j.ijsolstr.2009.10.016

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We overview the basic concepts, models, and methods related to the multi-field continuum theory of solids with complex structures. The multi-field theory is formulated for structural solids by introducing a macrocell consisting of several primitive cells and, accordingly, by increasing the number of vector fields describing the response of the body to external factors. Using this approach, we obtain several continuum models and explore their essential properties by comparison with the original structural models. Static and dynamical problems as well as the stability problems for structural solids are considered. We demonstrate that the multi-field approach gives a way to obtain families of models that generalize classical ones and are valid not only for long-, but also for short-wavelength deformations of the structural solids. Some examples of application of the multi-field theory and directions for its further development are also discussed. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：510 / 525

页数：16

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