Applied Mathematics and Mechanics

, Volume 25, Issue 11, pp 1241–1248

# Semi-weight function method on computation of stress intensity factors in dissimilar materials

• Ma Kai-ping
• Liu Chun-tu
Article

## Abstract

Semi-weight function method is developed to solve the plane problem of two bonded dissimilar materials containing a crack along the bond. From equilibrium equation, stress and strain relationship, conditions of continuity across interface and free crack surface, the stress and displacement fields were obtained. The eigenvalue of these fields is lambda. Semi-weight functions were obtained as virtual displacement and stress fields with eigenvalue-lambda. Integral expression of fracture parameters, KI and KII, were obtained from reciprocal work theorem with semi-weight functions and approximate displacement and stress values on any integral path around crack tip. The calculation results of applications show that the semi-weight function method is a simple, convenient and high precision calculation method.

### Key words

dissimilar material interface crack stress intensity factor semi-weight function method plane fracture problem

O346.1

### 2000 Mathematics Subject Classification

74E99 74R10 74S30

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## Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2004

## Authors and Affiliations

• Ma Kai-ping
• 1
• Liu Chun-tu
• 1
1. 1.Institute of MechanicsChinese Academy of SciencesBeijingP.R. China