Abstract
In this paper, the boundary value problems of plane problems with a simply- or multiply-connected domain for isotropic linear visco-elasticity are first established by terms of Airy stress function F(x0 t). Secondly some identity relations between displacements and stresses for plane problems of visco- and elasticity are discussed in detail and some meaningful conclusions are obtained. As an example, the deformation response for viscoelastic plate with a small circular hole at the center is analyzed under a uniaxial uniform extension.
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Project supported by foundations of the National Natural Science of China and Gansu Province
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Xiao, Y., Changiun, C. Some identity relations between plane problems for visco- and elasticity. Appl Math Mech 18, 1159–1167 (1997). https://doi.org/10.1007/BF00713718
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DOI: https://doi.org/10.1007/BF00713718