A Novel Boundary-domain Element Method
Of Initial Stress, Finite Deformation And
Discrete Cracks In Multilayered Solids
Author(s)
B. Yang
Abstract
We introduce a novel boundary-domain element method of initial stress, finite
deformation and discrete cracks in multilayered solids. Because the special
Green’s function of multilayers that satisfies the interfacial continuity and
surface boundary conditions is employed as the integral kernel, the numerical
discretization is reduced only along the crack surfaces and over the subdomains
of finite deformation. Two examples are presented. First, we simulate the
interfacial cohesive delamination around a through-thickness crack in a prestretched
thin film on a flexible substrate. The process of interfacial crack
initiation and growth following the expansion of a cohesive damage front, driven
by the opening through-thickness crack, is shown. Second, we simulate the
buckling of a delaminated pre-compressed thin film on a flexible substrate. It is
shown that the compliance of the substrate plays a significant role in the critical
behavior. If the substrate is more compliant than the film, the buckling initiates
as a subcritical hard bifurcation. In contrast, if the substrate is stiffer than the
film, it initiates as a supercritical soft bifurcation.
Keywords: anisotropic elasticity, boundary element, post-buckling, crack,
delamination, finite deformation, initial stress, multilayers, thin films.
1 Introduction
Various integral-equation (IE) formulations have been developed for Kirchoff’s
thin plates [1-3], Reissner’s thick plates [4-6], and mixed thin and thick plates
[7]. Because only boundary integrals are involved, they have been applied to
develop numerical boundary element (BE) methods to solve related boundary
Keywords
anisotropic elasticity, boundary element, post-buckling, crack,
delamination, finite deformation, initial stress, multilayers, thin films
Related Book
Other papers in this volume
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