TY  - CONF
Y1  - 2011///
M2  - Coimbra, Portugal
TI  - Energy-Entropy-Momentum integration of discrete thermo-visco-elastic dynamics.
A1  - García Orden, Juan Carlos
A1  - Romero Olleros, Ignacio
CY  - Coimbra, Portugal
PB  - Instituto de Investigacion y Desenvolvimiento Tecnológico en Ciencias de Construcción, Universidad de Coimbra
AV  - public
N2  - 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.
UR  - http://www.itecons.uc.pt/cmne2011/uk/introducao.htm
KW  - Time integration
KW  -  structure preservation
KW  -  geometric integration
KW  -  coupled problems
KW  -  thermodynamics
ID  - upm12436
T2  - Congress on Numerical Methods in Engineering, CMNE|2011
ER  -