Dynamic energy release rate in couple-stress elasticity

International Symposium on Dynamic Deformation and Fracture of Advanced Materials 2013

物理学;材料科学

Morini, L.^1 ; Piccolroaz, A.^1 ; Mishuris, G.^2

Department of Civil, Environmental and Mechanical Engeneering, University of Trento, Via Mesiano 77, 38123 Trento, Italy^1

Institute of Mathematical and Physical Sciences, Aberystwyth University, Ceredigion SY23 3BZ, United Kingdom^2

关键词: Couple stress elasticity;    Crack problems;    Dynamic energy release rate;    Dynamic j integral;    Elastic materials;    General expression;    Inertial contributions;    Semi-infinite crack;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/451/1/012014/pdf
DOI  :  10.1088/1742-6596/451/1/012014

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

This paper is concerned with energy release rate for dynamic steady state crack problems in elastic materials with microstructures. A Mode III semi-infinite crack subject to loading applied on the crack surfaces is considered. The micropolar behaviour of the material is described by the theory of couple-stress elasticity developed by Koiter. A general expression for the dynamic J-integral including both traslational and micro-rotational inertial contributions is derived, and the conservation of this integral on a path surrounding the crack tip is demonstrated.