Prediction of the Transient Response of a Linear Viscoelastic Solid

In this work, a boundary element formulation for 2D linear viscoelastic solid polymers subjected to body force of gravity has been presented. Structural analysis of solid polymers is one of the most important subjects in advanced engineering structures. From basic assumptions of the viscoelastic constitutive equations and the weighted residual techniques, a simple but effective boundary element formulation is implemented for standard linear solid (SLS) model. The SLS model provides an approximate representation of observed behavior of a real advanced polymer in its viscoelastic range. This approach avoids the use of relaxation functions and mathematical transformations, and it is able to solve quasistatic viscoelastic problems with any load time-dependence and boundary conditions. Problem of pressurization of thick-walled viscoelastic tanks made of PMMA polymer, which subjected to a body force, is completely analyzed.

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TRANSIENT RESPONSE OF VISCOELASTIC MOVING BELTS USING BLOCK-BY-BLOCK METHOD

International Journal of Structural Stability and Dynamics ◽

10.1142/s021945540200049x ◽

2002 ◽

Vol 02 (02) ◽

pp. 265-280 ◽

Cited By ~ 13

Author(s):

LIXIN ZHANG ◽

JEAN W. ZU ◽

Z. ZHONG

Keyword(s):

Integral Equations ◽

Transient Response ◽

Governing Equation ◽

Axial Velocity ◽

Constitutive Law ◽

System Response ◽

Block Method ◽

Viscoelastic Characteristic ◽

Viscoelastic Parameters ◽

Linear Viscoelastic

The linear, viscoelastic, integral constitutive law is employed to model the viscoelastic characteristic of belt materials. By assuming the translating eigenfunctions instead of stationary eigenfunctions to be the spatial solutions, the governing equation is reduced to differential-integral equations in time, which are then solved by the block-by-block method. The transient amplitudes of parametrically excited viscoelastic moving belts with uniform and non-uniform travelling speed are obtained. The effects of viscoelastic parameters and perturbed axial velocity on the system response are also investigated.

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A Burger Model for the Effective Behavior of a Microcracked Viscoelastic Solid

International Journal of Damage Mechanics ◽

10.1177/1056789510395554 ◽

2011 ◽

Vol 20 (8) ◽

pp. 1116-1129 ◽

Cited By ~ 38

Author(s):

Sy Tuan Nguyen ◽

Luc Dormieux ◽

Yann Le Pape ◽

Julien Sanahuja

Keyword(s):

Displacement Discontinuity ◽

Macroscopic Strain ◽

Viscoelastic Solid ◽

Burger Model ◽

Strain Concentration ◽

Alternative Approach ◽

Linear Viscoelastic ◽

Correspondence Theorem ◽

Effective Behavior

This article aims at the determination of the effective behavior of a microcracked linear viscoelastic solid. Due to the nonlinearity of the strain concentration in the cracks, the latter cannot be derived directly from a combination of the correspondence theorem with the Eshelby-based homogenization schemes. The proposed alternative approach is based on the linear relationship between the macroscopic strain and the local displacement discontinuity across the crack. An approximation of the effective behavior in the framework of a Burger model is derived analytically.

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