A Modified Superposition Principle Applied to Creep of Nonlinear Viscoelastic Material Under Abrupt Changes in State of Combined Stress

1967 ◽  
Vol 11 (3) ◽  
pp. 361-380 ◽  
Author(s):  
W. N. Findley ◽  
J. S. Y. Lai
Keyword(s):  
Viscoelastic Material ◽  
Superposition Principle ◽  
Combined Stress ◽  
Nonlinear Viscoelastic Material ◽  
Nonlinear Viscoelastic ◽  
Abrupt Changes

An approach to characterize nonlinear viscoelastic material behavior using dynamic mechanical tests and analyses

1997 ◽  
Author(s):  
Hunter Golden ◽  
Thomas Strganac ◽  
Richard Schapery ◽  
Hunter Golden ◽  
Thomas Strganac ◽  
...  
Keyword(s):  
Viscoelastic Material ◽  
Mechanical Tests ◽  
Material Behavior ◽  
Dynamic Mechanical ◽  
Nonlinear Viscoelastic Material ◽  
Nonlinear Viscoelastic

A Numerical Study of Plane Longitudinal Waves in a Nonlinear Viscoelastic Material

1974 ◽  
Vol 41 (1) ◽  
pp. 111-116 ◽  
Author(s):  
T. R. Blake ◽  
J. F. Wilson
Keyword(s):  
Wave Propagation ◽  
Viscoelastic Material ◽  
Numerical Study ◽  
Numerical Procedure ◽  
Constitutive Relationship ◽  
Longitudinal Waves ◽  
First Order ◽  
Nonlinear Viscoelastic Material ◽  
Nonlinear Viscoelastic ◽  
Lagrangian Form

A numerical study of plane longitudinal waves in a nonlinear viscoelastic material is presented. The constitutive relationship and the conservation equations, in Lagrangian form, are formulated in an explicit first-order finite-difference manner. The mechanical behavior of the material is described by means of state and orientation variables and the associated differential equations. With the use of the numerical procedure we model wave-propagation experiments in polymethyl methacrylate and derive a constitutive relationship for that material. We then use this constitutive equation in a numerical study of the evolution of steady-state waves and we show that the time for the formation of these waves is inversely proportional to magnitude of the imposed velocity.

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