Abstract
Consider the virtual work equation for a finite element assemblage for a thermoelastic-plastic material model at time t + Δt (step n+1)
and B is the total strain-displacement transformation matrix, U n+1 is the nodal point displacement vector, R n+1 is nodal point external load vector, D is the deviatoric stress operator matrix and δ T is [1,1,1,0,0,0]. Substituting Eqs. (12.2) and (12.5) into Eq. (12.1) we get
where
is the elastic stiffness matrix.
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© 2004 Springer-Verlag Berlin Heidelberg
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Służalec, A. (2004). Numerical Models of Plasticity. In: Theory of Metal Forming Plasticity. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10449-1_12
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DOI: https://doi.org/10.1007/978-3-662-10449-1_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07370-0
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