Authors
Jeong-Ho Kim, GH Paulino
Publication date
2002/7/1
Journal
J. Appl. Mech.
Volume
69
Issue
4
Pages
502-514
Description
Graded finite elements are presented within the framework of a generalized isoparametric formulation. Such elements possess a spatially varying material property field, e.g. Young’s modulus E and Poisson’s ratio ν for isotropic materials; and principal Young’s moduli E11,E22, in-plane shear modulus G12, and Poisson’s ratio ν12 for orthotropic materials. To investigate the influence of material property variation, both exponentially and linearly graded materials are considered and compared. Several boundary value problems involving continuously nonhomogeneous isotropic and orthotropic materials are solved, and the performance of graded elements is compared to that of conventional homogeneous elements with reference to analytical solutions. Such solutions are obtained for an orthotropic plate of infinite length and finite width subjected to various loading conditions. The corresponding solutions for an …
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