TY - EJOU
AU - Cozzano, Berardi Sensale
AU - RodrÃguez, Berardi Sensale
TI - The Trefftz Boundary Method in Viscoelasticity
T2 - Computer Modeling in Engineering \& Sciences
PY - 2007
VL - 20
IS - 1
SN - 1526-1506
AB - In this paper, the Trefftz method is applied to solve linear viscoelasticity problems in the time domain, using Trefftz elastic series and considering the viscoelastic components in each time domain as fictitious body forces. The direct application of the Trefftz method to elastic problems is typically constrained to those cases in which the Navier equation is homogeneous. In the presence of body forces, the method of the particular solution or the method of the generalized particular solution should be used, depending on whether the body forces are constant or not inside the considered domain. Many viscoelasticity problems with or without aging can be solved by applying the elastic Trefftz series. To show the accuracy of the proposed formulation, some examples are solved and the results compared with those available in the literature.
KW - Viscoelasticity
KW - Trefftz Method
KW - Particular Solution Method
DO - 10.3970/cmes.2007.020.021