Modelling the influence of residual stress on crack parameter by finite element method

✍ Scribed by A. Mishra; T. Prasad; F. Sinha

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 616 KB
• Volume: 25
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(86)90215-8

✦ Synopsis

A finite element model is presented for investigating the influence of residual stress induced due to grinding on mouth opening displacement (MOD) values. A general three-dimensional case is studied by converting it to a two-dimensional one using semi-analytical finite-element method. Auxiliary load used in the model represents the magnitude and nature of residual stresses. The results of the investigation show the influence of residual stresses on fracture behaviour ; these are compared with the results obtained experimentally.

NOMENCLATURE

Cartesian coordinates harmonic displacement vector at node i for Ith harmonic displacement components components of displacement vector {u,} generalized displacement vector for ith node and Ith harmonic shape functions for ith node and Ith harmonic stiffness matrix for 1, M harmonic and i, j nodes load vector strain-displacement matrix stress-strain matrix or elasticity matrix natural coordinates (two-dimensional) time, thickness stress components strain components Jacobian matrix determinant of [J] nodal forces for Ith harmonic.