The Trefftz Boundary Method in Viscoelasticity
Berardi Sensale Cozzano; and Berardi Sensale Rodr ' \i guez

doi:10.3970/cmes.2007.020.021
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 20, No. 1, pp. 21-34, 2007
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Keywords Viscoelasticity, Trefftz Method, Particular Solution Method
Abstract 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.
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