Fracture Process Zone at the Tip of a Mode I Crack in a Nonlinear Elastic Orthotropic Material
A body with a fracture process zone at the crack front is considered. The constitutive equations relating the components of the stress vectors at points on the opposite boundaries of the fracture process zone and the components of the vector of relative displacements of these points are derived. A local fracture criterion is formulated. A boundary-value problem for a plate made of a nonlinear elastic orthotropic material with a mode I crack is stated in terms of the components of the displacement vector. By solving the problem numerically, it is revealed how the fracture process zone develops under loading. Features of the deformation field at the end of the fracture process zone are established. The critical load on the plate that causes the crack to grow is determined.
Keywordsnonlinear elastic orthotropic material mode I crack fracture process zone constitutive equations local fracture criterion
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