Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 87, Issue -, Pages 1-6Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2015.10.010
Keywords
Willis equations; Inhomogeneous media; Pre-stresses; Transformation elastodynamics; Waves
Funding
- National Natural Science Foundation of China [11272168]
Ask authors/readers for more resources
This paper proves that the linear elastic behavior of the material with inhomogeneous pre-stresses can be described by the Willis equations. In this case, the additional terms in the Willis equations, compared with the classical linear elastic equations for homogeneous media, are related to the gradient of pre-stresses. In this way, the material length scale is naturally incorporated in the framework of continuum mechanics. All these findings also coincide with the results of transformation elastodynamics, so that they can meet the requirement of the principle of material objectivity and the principle of general invariance. (C) 2015 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available