A COMPLETE TREATMENT OF THERMO-MECHANICAL ALE ANALYSIS; PART I: FORMULATION

Arbitrary Lagrangian Eulerian (ALE) finite element method is extensively used fornumerical simulation of solid mechanics problem. The versatility of the mesh in ALE approachmakes it particularly effective and efficient in solving large deformation problems. In this work, acomplete treatment of fully coupled ALE formulation is presented incorporating inertial, rate andthermal effects. The formulation may be used in conjunction with thermo-elasto-viscoplacticmaterial models. A consistent and efficient tangent operator is developed in closed form to handlestress integration. The applications of this formulation are given in the second part of this paper.