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- Title
Formulations of nonlocal continuum mechanics based on a new definition of stress tensor.
- Authors
Huang, Zaixing
- Abstract
In this paper, attention is given to some basic problems in nonlocal continuum mechanics. Firstly, a surface-induced traction is introduced through nonlocal residuals of the surface. By it, a new measure of stress called the nonlocal stress is defined. The corresponding nonlocal stress formula and nonlocal balance equations distinguishing from the existing forms are established systematically. The existence of nonlocal residuals of body force, body moment and energy is investigated in detail based on the objectivity of the nonlocal balance equation of energy. Based on these results, the nonlocal hyperelastic constitutive equation is consistently deduced. Finally, the linear nonlocal elasticity is used to analyse the lattice contraction on a crystal surface induced by the surface-induced traction. The effects of the ``boundary layer'' are discussed. Some interesting results are given.
- Subjects
CONTINUUM mechanics; STRESS-strain curves; ELASTICITY; CRYSTAL lattices; SURFACE energy; FREE surfaces (Crystallography)
- Publication
Acta Mechanica, 2006, Vol 187, Issue 1-4, p11
- ISSN
0001-5970
- Publication type
Article
- DOI
10.1007/s00707-006-0360-5