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- W2048282007 abstract "A previously developed local-global stiffness matrix methodology for the response of a composite half plane, arbitrarily layered with isotropic, orthotropic or monoclinic plies, to indentation by a rigid parabolic punch is further extended to accommodate the presence of layers with complex eigenvalues (e.g., honeycomb or piezoelectric layers). First, a generalized plane deformation solution for the displacement field in an orthotropic layer or half plane characterized by complex eigenvalues is obtained by using Fourier transforms. A local stiffness matrix in the transform domain is subsequently constructed for this class of layers and half planes, which is then assembled into a global stiffness matrix for the entire multi-layered half plane by enforcing continuity conditions along the interfaces. Application of the mixed boundary condition on the top surface of the half plane indented by a rigid punch results in an integral equation for the unknown pressure in the contact region. The integral possesses a divergent kernel which is decomposed into Cauchy-type and regular parts by the use of the asymptotic properties of the local stiffness matrix and a relationship between Fourier and finite Hilbert transforms of the contact pressure. The solution of the resulting singular integral equation is obtained by using a collocation technique based on the properties of orthogonal polynomials developed by Erdogan and Gupta. Examples are presented that illustrate the important influence of low transverse properties of layers with complex eigenvalues, such as those exhibited by honeycombs, on the load versus contact length response and contact pressure distributions for half planes containing typical composite materials." @default.
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- W2048282007 date "1999-02-01" @default.
- W2048282007 modified "2023-09-26" @default.
- W2048282007 title "The influence of layers with low transverse stiffness on the contact response of composite half planes" @default.
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- W2048282007 doi "https://doi.org/10.1016/s0266-3538(98)00076-1" @default.
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