scholarly journals Combined Stress‐Creep Experiments on a Nonlinear Viscoelastic Material to Determine the Kernel Functions for a Multiple Integral Representation of Creep

1965 ◽  
Vol 9 (2) ◽  
pp. 299-327 ◽  
Author(s):  
K. Onaran ◽  
W. N. Findley
Keyword(s):  
Integral Representation ◽  
Viscoelastic Material ◽  
Multiple Integral ◽  
Kernel Functions ◽  
Combined Stress ◽  
Nonlinear Viscoelastic Material ◽  
Nonlinear Viscoelastic

A Linear Compressibility Assumption for the Multiple Integral Representation of Nonlinear Creep of Polyurethane

1970 ◽  
Vol 37 (2) ◽  
pp. 441-448 ◽  
Author(s):  
K. G. Nolte ◽  
W. N. Findley
Keyword(s):  
Integral Representation ◽  
Multiple Integral ◽  
Kernel Functions ◽  
Nonlinear Creep ◽  
Volume Changes ◽  
Creep Tests ◽  
Third Order ◽  
Nonlinear Viscoelastic ◽  
Different Order ◽  
Order Kernel

The assumption that volume changes associated with creep of a nonlinear viscoelastic material are only linearly dependent on the stress history is incorporated into a third-order multiple integral representation. This assumption reduces the number of independent kernel functions in the representation from 12 to 7. The traces of these independent kernels may be determined from two tension, two torsion, and one combined tension and torsion creep tests. Experiments on polyurethane are well represented by this method. The time-dependence of the kernel functions is expressed by time raised to a power with the power differing for different-order kernel functions.

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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