@inproceedings{upm12436, booktitle = {Proceedings of the Congress on Numerical Methods in Engineering, CMNE{\ensuremath{|}}2011}, year = {2011}, publisher = {Instituto de Investigacion y Desenvolvimiento Tecnol{\'o}gico en Ciencias de Construcci{\'o}n, Universidad de Coimbra}, address = {Coimbra, Portugal}, title = {Energy-Entropy-Momentum integration of discrete thermo-visco-elastic dynamics.}, url = {http://www.itecons.uc.pt/cmne2011/uk/introducao.htm}, keywords = {Time integration, structure preservation, geometric integration, coupled problems, thermodynamics}, abstract = {A novel time integration scheme is presented for the numerical solution of the dynamics of discrete systems consisting of point masses and thermo-visco-elastic springs. Even considering fully coupled constitutive laws for the elements, the obtained solutions strictly preserve the two laws of thermo dynamics and the symmetries of the continuum evolution equations. Moreover, the unconditional control over the energy and the entropy growth have the effect of stabilizing the numerical solution, allowing the use of larger time steps than those suitable for comparable implicit algorithms. Proofs for these claims are provided in the article as well as numerical examples that illustrate the performance of the method.}, author = {Garc{\'i}a Orden, Juan Carlos and Romero Olleros, Ignacio} }