Alexander Humer and Hans Irschik*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1395-1417, 2021, DOI:10.32604/cmes.2021.017944
Abstract This paper addresses the application of the continuum mechanics-based multiplicative decomposition for thermohyperelastic materials by Lu and Pister to Reissner’s structural mechanics-based, geometrically exact theory for
finite strain plane deformations of beams, which represents a geometrically consistent non-linear extension of the
linear shear-deformable Timoshenko beam theory. First, the Lu-Pister multiplicative decomposition of the displacement gradient tensor is reviewed in a three-dimensional setting, and the importance of its main consequence is
emphasized, i.e., the fact that isothermal experiments conducted over a range of constant reference temperatures are
sufficient to identify constitutive material parameters in the stress-strain relations. We address various isothermal… More >
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