Viscoelastic incremental formulation using creep and relaxation differential approaches |
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Authors: | Claude Chazal Rostand Mouto Pitti |
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Affiliation: | (1) Department of Civil, Architectural and Environmental Engineering, The University of Texas at Austin, 3208 Red River, Austin TX, 78705, USA;(2) Department of Civil and Environmental Engineering, Ulsan University, San 29, Muger 2-dong, Ulsan, 680-749, Korea;(3) Department of Civil Engineering, Seoul National University, San 56-1 Sillim-dong Kwanak-gu, Seoul, 151-742, Korea |
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Abstract: | A new incremental formulation in the time domain for linear, non-ageing viscoelastic materials undergoing mechanical deformation
is presented in this work. The formulation is derived from linear differential equations based on a discrete spectrum representation
for the creep and relaxation tensors. The incremental constitutive equations are then obtained by finite difference integration.
Thus the difficulty of retaining the stress and strain history in computer solutions is avoided. A complete general formulation
of linear viscoelastic stress analysis is developed in terms of increments of strains and stresses in order to establish the
constitutive stress–strain relationship. The presented method is validated using numerical simulations and reliable results
are obtained. |
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Keywords: | |
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