Regularity and stability for a viscoelastic material with a singular memory kernel

1995 ◽  
Vol 37 (2) ◽  
pp. 139-156 ◽  
Author(s):  
G. Gentili
Keyword(s):  
Viscoelastic Material ◽  
Memory Kernel ◽  
Singular Memory

scholarly journals A magneto-viscoelasticity problem with a singular memory kernel

2017 ◽  
Vol 35 ◽  
pp. 200-210 ◽  
Author(s):  
Sandra Carillo ◽  
Michel Chipot ◽  
Vanda Valente ◽  
Giorgio Vergara Caffarelli
Keyword(s):  
Memory Kernel ◽  
Singular Memory ◽  
Viscoelasticity Problem

A Consistent Implementation of Inelastic Material Models into Steady State Rolling

2016 ◽  
Vol 44 (3) ◽  
pp. 174-190 ◽  
Author(s):  
Mario A. Garcia ◽  
Michael Kaliske ◽  
Jin Wang ◽  
Grama Bhashyam
Keyword(s):  
Steady State ◽  
Numerical Simulations ◽  
Viscoelastic Material ◽  
Rolling Contact ◽  
Arbitrary Lagrangian Eulerian ◽  
Ale Formulation ◽  
Inelastic Material ◽  
Material Formulation ◽  
Steady State Rolling ◽  
Efficient Alternative

ABSTRACT Rolling contact is an important aspect in tire design, and reliable numerical simulations are required in order to improve the tire layout, performance, and safety. This includes the consideration of as many significant characteristics of the materials as possible. An example is found in the nonlinear and inelastic properties of the rubber compounds. For numerical simulations of tires, steady state rolling is an efficient alternative to standard transient analyses, and this work makes use of an Arbitrary Lagrangian Eulerian (ALE) formulation for the computation of the inertia contribution. Since the reference configuration is neither attached to the material nor fixed in space, handling history variables of inelastic materials becomes a complex task. A standard viscoelastic material approach is implemented. In the inelastic steady state rolling case, one location in the cross-section depends on all material locations on its circumferential ring. A consistent linearization is formulated taking into account the contribution of all finite elements connected in the hoop direction. As an outcome of this approach, the number of nonzero values in the general stiffness matrix increases, producing a more populated matrix that has to be solved. This implementation is done in the commercial finite element code ANSYS. Numerical results confirm the reliability and capabilities of the linearization for the steady state viscoelastic material formulation. A discussion on the results obtained, important remarks, and an outlook on further research conclude this work.

scholarly journals Memory kernel and divisibility of Gaussian collisional models

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Rolando Ramirez Camasca ◽  
Gabriel T. Landi
Keyword(s):  
Memory Kernel

scholarly journals Vibration Reduction of an Existing Glass Window through a Viscoelastic Material-Based Retrofit

2018 ◽  
Vol 8 (7) ◽  
pp. 1061 ◽  
Author(s):  
Qian Feng ◽  
Liming Fan ◽  
Linsheng Huo ◽  
Gangbing Song
Keyword(s):  
Viscoelastic Material ◽  
Vibration Reduction

A Viscoelastic Correspondence Principle for Plane Membranes Subjected to Lateral Pressure

1983 ◽  
Vol 50 (4a) ◽  
pp. 740-742 ◽  
Author(s):  
B. Stora˚kers
Keyword(s):  
Time Dependence ◽  
Viscoelastic Material ◽  
Lateral Pressure ◽  
Correspondence Principle ◽  
Material Model ◽  
Material Behavior ◽  
Linear Elastic Material ◽  
First Order ◽  
Linear Elastic ◽  
Consistent Approximation

The classical Fo¨ppl equations, governing the deflection of plane membranes, constitute the first-order consistent approximation in the case of linear elastic material behavior. It is shown that despite the static and kinematic nonlinearities present, for arbitrary load histories a correspondence principle for viscoelastic material behavior exists if all relevant relaxation moduli are of uniform time dependence. Application of the principle is illustrated by means of a popular material model.

Sign in / Sign up

Export Citation Format

Share Document