Accession Number : AD0736947

Title :   Non-linear Effect of Initial Stress on Crack Propagation between Similar and Dissimilar Orthotropic Media,

Corporate Author : BIOT (MAURICE A) BRUSSELS (BELGIUM)

Personal Author(s) : Biot,Maurice A.

Report Date : DEC 1971

Pagination or Media Count : 59

Abstract : The theory of crack propagation in orthotropic media is developed by applying the theory of incremental deformations in the vicinity of a state of initial stress. This is carried out in the context of a new approach to analytical methods and a physical analysis which takes into account plastic deformation under prestress. The state of initial stress is triaxial along the directions of elastic symmetry and the crack is parallel to these directions. An additional shear component for the initial stress is also taken into account and general conditions are derived for crack propagation, including the case of fluid injection into the crack. The analysis is first carried out for an homogeneous medium. The particular cases of an isotropic elastic medium with finite initial strain is discussed as well as the orthotropic incompressible medium. The analysis is extended to a crack between dissimilar orthotropic media with initial stress. The method of analysis leads to a number of simplifications and brings out new properties of the solutions for this type of problem. (Author)

Descriptors :   (*CRACK PROPAGATION, STRESSES), ELASTIC PROPERTIES, PLASTIC PROPERTIES, DEFORMATION, STRAIN(MECHANICS), MATHEMATICAL ANALYSIS, BELGIUM

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE