This paper presents an extension of the correspondence principle (as applied to homogeneous viscoelastic solids) to nonhomogeneous viscoelastic solids under the assumption that the relaxation (or creep) moduli be separable functions in space and time. A few models for graded viscoelastic materials are presented and discussed. The revisited correspondence principle extends to specific instances of thermoviscoelasticity and fracture of functionally graded materials.
Correspondence Principle in Viscoelastic Functionally Graded Materials
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Jan. 18, 2000; final revision, June 14, 2000. Associate Technical Editor: M.-J. Pindera.
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Paulino, G. H., and Jin , Z. (June 14, 2000). "Correspondence Principle in Viscoelastic Functionally Graded Materials ." ASME. J. Appl. Mech. January 2001; 68(1): 129–132. https://doi.org/10.1115/1.1331286
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