Numerical calculation of creep compliance from dynamic data for linear viscoelastic materials

1970 ◽  
Vol 9 (3) ◽  
pp. 382-395 ◽  
Author(s):  
F. R. Schwarzl
Keyword(s):  
Numerical Calculation ◽  
Creep Compliance ◽  
Viscoelastic Materials ◽  
Dynamic Data ◽  
Linear Viscoelastic

Obtaining shear relaxation modulus and creep compliance of linear viscoelastic materials from instrumented indentation using axisymmetric indenters of power-law profiles

2009 ◽  
Vol 24 (10) ◽  
pp. 3013-3017 ◽  
Author(s):  
Yang-Tse Cheng ◽  
Fuqian Yang
Keyword(s):  
Inverse Problem ◽  
Laplace Transform ◽  
Power Law ◽  
Creep Compliance ◽  
Relaxation Modulus ◽  
Instrumented Indentation ◽  
Loading Paths ◽  
Linear Viscoelastic ◽  
Shear Relaxation ◽  
Analytical Expressions

Using Laplace transform, we solve the inverse problem of obtaining the shear relaxation modulus and creep compliance of linear viscoelastic solids from indentation by axisymmetric indenters of power-law profiles. We identify several simple, though nontrivial, loading paths for carrying out indentation measurements such that the inverse problem has analytical solutions. We show that the shear relaxation modulus and creep compliance may be readily obtained using the newly derived analytical expressions together with proposed indentation loading paths.

Wave equations in linear viscoelastic materials

1986 ◽  
Vol 79 (4) ◽  
pp. 895-900 ◽  
Author(s):  
Jean‐Paul Charlier ◽  
Françoise Crowet
Keyword(s):  
Wave Equations ◽  
Viscoelastic Materials ◽  
Linear Viscoelastic
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