eng Science and Education Publishing American Journal of Mechanical Engineering 2328-4110 2016-12-17 4 7 344 348 10.12691/ajme-4-7-19 AJME20164719 article Juraj Šarloši juraj.sarlosi@gmail.com 1 Jozef Bocko 1 Department of Applied Mechanics and Mechanical Engineering, Technical University in Košice, Košice In this paper we present a continuum theory for large strain Elasto-Plasticity based on formulations: Eulerian Formulation and Multiplicative Elasto-Plasticity. The theories includes Cauchy and Kirchhoff stress tensor as well as Truesdell rate and Jauman rate for the Cauchy stress and the multiplicative elasto-plastic decomposition. We show detailed derivative for mentioned formulations. http://pubs.sciepub.com/ajme/4/7/19/ajme-4-7-19.pdf Elasto-Plasticity Kirchhoff stress tensor Cauchy stress tensor elasto-plastic decomposition Jauman rate Truesdell rate