On a new unconditionally stable and fast finite element approach in thermoelasticity ready for one-to-one bridging with atomistic scale simulation procedures

Dubravka Mijuca

University UNION - Nikola Tesla, Belgrade


The new mixed finite element approach where displacement and stresses are primal variable in semi-coupled thermoelasticity is presented.

The main difference regarding to standard primal approach is in capability to have hexahedral finite elements in a mesh that differs up to 7 order of magnitude, without loss of stability and spurious oscillations of results. The finite elements can have aspect ratio that differs up to 6 orders of magnitude, and there is no restriction on shape.

Consequently, any shape of engineering or bio structure can be easily meshed with hexahedral finite elements. Because of unconditional stability per elastic and thermal problem, numbers of iteration up to thermal equilibrium is very small. Further, from the reason that stress is also primal variable, residual or known stresses are applied directly.

Method is capable to analyze composite in with full theory of thermoelasticity without dimensional reduction. Thus, coated components are also analysed without dimensional reduction. The approach is superiorly fast because special scaling technique is used for solution of resulting system of algebraic equations.

Present approach is tested on standard examples from commercial softwares and with experimental measurements.