The elastic-viscoelastic correspondence principle for functionally graded materials, revisited

S Mukherjee, GH Paulino - J. Appl. Mech., 2003 - asmedigitalcollection.asme.org
Paulino and Jin [Paulino, GH, and Jin, Z.-H., 2001,“Correspondence Principle in Viscoelastic
Functionally Graded Materials,” ASME J. Appl. Mech., 68, pp. 129–132], have recently …

A viscoelastic functionally graded strip containing a crack subjected to in-plane loading

ZH Jin, GH Paulino - Engineering Fracture Mechanics, 2002 - Elsevier
In this paper, a crack in a viscoelastic strip of a functionally graded material (FGM) is studied
under tensile loading conditions. The extensional relaxation modulus is assumed as E …

Thermo-mechanical behavior of a viscoelastic FGMs coating containing an interface crack

ZQ Cheng, SA Meguid, Z Zhong - International journal of fracture, 2010 - Springer
In this paper the plane thermo-mechanical behavior of a crack in a viscoelastic functionally
graded materials (FGMs) coating with arbitrary material properties bonded to a …

Thermoviscoelastic deformations of functionally graded thin plates

NH Zhang, ML Wang - European Journal of Mechanics-A/Solids, 2007 - Elsevier
By considering the influence of the mid-plane strains due to the inhomogeneous property of
FGMs across the thickness, a constitutive equation of thermoviscoelastic functionally graded …

Thermo-viscoelastic response of a cracked, functionally graded half-plane under a thermal shock

W Yang, Z Chen - Engineering Fracture Mechanics, 2019 - Elsevier
In this paper, a thermo-viscoelastic model is developed for the crack problem in an infinite,
functionally graded half plane under a thermal shock. The moduli are assumed to be …

A mathematical model of thermoviscoelastic FGM thin plates and Ritz approximate solutions

NH Zhang, ML Wang - Acta mechanica, 2006 - Springer
According to the constitutive relation of linear thermoviscoelasticity, a mathematical model of
viscoelastic FGM thin plates under thermal loads is set up with the help of Laplace …

An anti-plane crack in a nonhomogeneous viscoelastic body

R Alex, L Schovanec - Engineering fracture mechanics, 1996 - Elsevier
A quasi-static analysis of an anti-plane strain crack in a radially inhomogeneous viscoelastic
material is carried out. Laplace and Mellin transform methods are used to construct explicit …

The energy release rate for a quasi-static mode I crack in a nonhomogeneous linearly viscoelastic body

L Schovanec, JR Walton - Engineering fracture mechanics, 1987 - Elsevier
Abstract The Energy Release Rate (ERR) for the quasi-static problem of a semi-infinite
mode I crack propagating through an inhomogeneous isotropic linearly viscoelastic body is …

Quasi-static mode III fracture in a nonhomogeneous viscoelastic body

JM Herrmann, L Schovanec - Acta mechanica, 1990 - Springer
An analysis is presented of the quasi-static propagation of a semi-infinite mode III crack in an
inhomogeneous isotropic viscoelastic body. A shear modulus is assumed of the form G (t …

Dynamic steady-state mode III fracture in a nonhomogeneous viscoelastic body

JM Herrmann, L Schovanec - Acta mechanica, 1994 - Springer
The problem of a propagating semi-infinite mode III crack in an infinite inhomogeneous
viscoelastic body is analyzed. Inertial effects are included in the equation of motion while the …