Abstract
An explicit analytical workflow for cylindrical hole stability analyses in general laminated materials that possess transversely isotropic (TI) anisotropy is presented. In this approach, the calculation of the distribution of the stresses around a cylindrical hole and the failure evaluation at the hole wall consider the effects of both material elasticity anisotropy and strength anisotropy caused by material laminated structures. Material strength anisotropy is assumed to be caused by the sliding of preexisting weakness planes oriented parallel to the isotropic plane of the material. The effect of anisotropy on strength is modeled by combining a shear failure criterion for the intact matrix and a weak plane failure criterion for the planes of weakness. We derive critical pressure solutions for the stability of the intact matrix around a hole filled with gas or fluid based on the Mohr–Coulomb failure criterion and Drucker–Prager failure criterion; either one of them can be combined with the weak plane failure criterion to give the solution for hole wall shear failure pressure. The solution for hole wall fracture initiation pressure is derived based on the tensile failure criterion. This approach can be applied to holes of arbitrary orientation in general laminated materials.
Highlights
Traditional mechanical parts are mostly made of isotropic materials
E mechanical concepts, theories, calculation approaches, or experimental methods established based on uniformly isotropic materials may not be directly applied for analyzing laminated materials. e inherent nonuniformity of their mechanical performance can make the mechanical analyses complicated. ere are a number of different approaches developed for studying this type of problems
Chow et al [5] presented a method of nonlinear damage analysis for anisotropic materials based on the concepts of damage surface and damage potential, and the new method was validated by its application to thin composite laminates
Summary
Traditional mechanical parts are mostly made of isotropic materials. Nowadays, the innovation and advancement in material production and processing methods promote the development of more sophisticated mechanical parts that can exhibit anisotropy, such as laminated composite parts, functionally graded material parts, and additive manufacturing parts. E first two criteria (i.e., Mohr–Coulomb and Drucker–Prager) are used to model the failure of the intact matrix, and either one of them can be combined with the weak plane failure criterion to give the solution for hole wall shear failure pressure. We will first give a brief review of the method for calculating the distribution of hole stresses in general TI media and derive the analytical solutions for critical hole gas/fluid pressure for several commonly used failure models.
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