Analytical and Computational Simulations of Experimental Determinations of Linear Viscoelastic Constitutive Relations

Harry H. Hilton

Presented at Clark Atlanta University
April 23, 1999

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Author: Harry H. Hilton
Email: h-hilton@uiuc.edu
Home Page: http://www.staff.uiuc.edu/~h-hilton/hilton.html

Analytical and Computational Simulations of Experimental Determinations of Linear Viscoelastic Constitutive Relations

VISCOELASTIC MATERIALS

VISCOELASTIC CHARACTERISTICS

ENERGY REPRESENTATION OF MATERIAL PROPERTIES

GENERALIZED KELVIN MODEL

PROBLEM AREAS

EXPERIMENTAL PROBLEMS

ANALYTICAL PROBLEMS

IMPORTANT MATERIAL PROPERTIES

MATHEMATICAL MODELING OF CONSTITUTIVE RELATIONS

RELAXATION FUNCTION and MODULUS

ELASTIC and VISCOELASTIC MODULI

CREEP FUNCTION and COMPLIANCE

RELAXATION FUNCTION

CREEP FUNCTION

1 - D CREEP OR RELAXATION TEST

NORMAL & SHEAR MODULI

ELASTIC and VISCOELASTIC MODULUS

RELAXATION TIME FOR METALS

RELAXATION FUNCTION TIME SHIFTS

APPROXIMATE and EXACT FORMULATIONS

RELAXATION / CREEP FUNCTIONS

EXACT LAPLACE TRANSFORMS

J APPROXIMATION

ERROR FOR J APPROXIMATION

MAX ERROR FOR J APPROXIMATION

COMPUTATIONAL PROTOCOL

THE EXPERIMENTAL LOADING PROBLEM

TEST SPECIMEN

LOADING AND RELAXATION FUNCTIONS

YOUNG'S MODULUS

LOADING CONDITIONS

LOAD RAM FUNCTIONS AND RELAXATION FUNCTION

LOADING RAM TIME

DEFINITIONS

COMPUTATIONAL SIMULATIONS

RANDOM MODULI OR RELAXATION FUNCTIONS

COMPUTATIONAL SIMULATIONS

CONCLUSIONS

CONTACT INFORMATION

Analytical and Computational Simulations of Experimental Determinations of Linear Viscoelastic Constitutive Relations

Harry H. Hilton

Presented at Clark Atlanta University April 23, 1999

Click here to start the presentation

Table of Contents

Presented at Clark Atlanta University
April 23, 1999