IJPAM: Volume 51, No. 2 (2009)

Invited Lecture Delivered at
Fifth International Conference of Applied Mathematics
and Computing (Plovdiv, Bulgaria, August 12-18, 2008)


SHAPE DESIGN SENSITIVITY ANALYSIS (DSA) FOR
2-D STRUCTURAL FRACTURE USING
EXTENDED FEM (XFEM)

Mangesh Edke$^1$, Kuang-Hua Chang$^2$
$^{1,2}$School of Aerospace and Mechanical Engineering
University of Oklahoma
865, Asp Avenue, Norman, OK 73019, USA
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]


Abstract.This paper presents a novel design approach that facilitates design of structural components under fatigue and fracture for maximum service life. In this approach, a combination of extended finite element method and level sets method is employed for crack growth modeling and analysis of 2-D structures. This is followed by design sensitivity analysis, which evaluates sensitivity coefficients of crack growth rate and direction with respect to design variables. These coefficients help optimization algorithm to determine optimal geometric shape of the structure for maximum service life. A rectangular plate under shear loading is used to demonstrate feasibility of the proposed method.

Received: August 14, 2008

AMS Subject Classification: 70-02

Key Words and Phrases: design sensitivity analysis, fracture mechanics, extended finite element method

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 2