Mesh Reduction Strategy: Special Element For
Modelling Anisotropic Materials With Defects
Author(s)
Changyong Cao, Aibing Yu & Qing H. Qin
Abstract
In this paper we present a hybrid finite element method (HFS-FEM) to model
efficiently and accurately anisotropic materials with defects by developing
special elements for elliptic hole/crack based on their associated Green’s
functions. The hybrid method is formulated based on two independent
assumptions: intra-element field in terms of the combination of fundamental
solutions and inter-element frame fields along the element boundary. A modified
functional, which is satisfying the governing equation, boundary and continuity
conditions between elements, is proposed to derive the element stiffness. In this
work, the foundational solutions of the anisotropic materials following Stroh
formalism are employed to approximate the intra-element displacement field of
general elements, while the special fundamental solutions satisfying the required
boundary conditions for hole or crack are used for the special elements
containing defects. Two examples are presented to assess the performance of the
proposed method. Numerical results obtained for the stress concentration factor
(SCF) and stress intensity factor (SIF) are extremely accurate for the investigated
cases.
Keywords: anisotropic elasticity, Green’s function, hybrid finite element, Stroh
formalism, stress intensity factor.
Keywords
anisotropic elasticity, Green’s function, hybrid finite element, Stroh
formalism, stress intensity factor
Related Book
Other papers in this volume
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