An eigenstrain-based model for residual stress arising from transient local surface heating

J. M. Bromley, A. Saimoto, H. Alizadeh, D. J. Smith, C. E. Truman
2009 Proceedings of the Royal Society A  
We present a model for approximating residual stresses arising from thermally induced plasticity and apply it to a simple two-dimensional (plane strain) test problem of transient heating. The model uses stress fields derived from simple eigenstrains to perturb an initially elastic-only solution in a way that mimics plastic flow. The plane strain condition of the test problem gives rise to plastic strains in the out-of-plane direction, owing to constraints on thermal expansion. However, the
more » ... is able to cope with the challenges this poses and also encapsulates the time-dependent nature of the problem. We show that the model agrees well with finite-element simulations under moderate strength heat sources provided that appropriate plastic flow rules are used. There exists sufficient generality in the model to allow its extension to more realistic scenarios.
doi:10.1098/rspa.2009.0076 fatcat:cci3ecfvdje3fb5xsmwv647omq