To compute dynamic characteristics of nonlinear viscoelastic springs with elastic structures having huge degree-of-freedom, Yamaguchi proposed a new fast numerical method using finite element method [1]-[2]. In this method, restoring forces of the springs are expressed using power series of their elongation. In the expression, nonlinear hysteresis damping is introduced. In this expression, nonl...

The Mw7.8 Kunlun earthquake of 14 November, 2001, in the northern Tibetan Plateau of China, was the largest event in the Chinese continental area in the latest 50 years. In this paper, layered visco-elastic models are calculated using the PSGRN/ PSCMP code, and the results are fi tted to the observed post-seismic deformation. We show that a model of a surface anelastic layer of 10km thickness o...

Red blood cells (RBCs) have highly deformable viscoelastic membranes exhibiting complex rheological response and rich hydrodynamic behavior governed by special elastic and bending properties and by the external/internal fluid and membrane viscosities. We present a multiscale RBC model that is able to predict RBC mechanics, rheology, and dynamics in agreement with experiments. Based on an analyt...

The time dependency of stress distribution in the supporting structures under dentures was simulated, under three loading conditions, by visco-elastic finite element stress analysis. In this simulation, viscoelastic material, was used as a model for soft tissue. The results indicate that the viscous flow of soft tissue and the loading position are factors determining stress intensity in the sup...

Numerical modeling of machining processes is of significance in the parametric analysis and optimization of their performance. In this paper, a finite element-based model of abrasive waterjet (AWJ) cutting of a ductile material is presented with the help of an explicit, nonlinear finite element method. In this model, both solid-solid interaction and fluid-structure interaction are considered. T...

A major problem in the development of a computational environment that can reason about physical systems is its ability to formulate a model. The work here described is part of a research effort aimed at developing a comprehensive environment that automates the formulation of the constitutive law of an actual visco-elastic material. In outline, we approached the problem in two main stages : at ...

The classical formulation of large displacement visco-elasticity requires the geometrically nonlinear Green tensor. Keeping track of the rotational part of strain permits alternative formulations, that allow the tensor to stay linear, and at the same time maintaining rotational invariance. We replace a recently proposed heuristical warping technique by the application of the polar decomposition...

Recently a new phenomenon of bonding polymeric films in solid-state, via symmetric rolling, at ambient temperatures (≈ 20 °C) well below the glass transition temperature (Tg ≈ 78 polymer has been reported. In this type bonding, are subject to plane strain active bulk plastic compression between rollers during deformation. Here, we analyze these cold rolling processes, large strains but slow rat...

We address the analysis of an abstract system coupling a rate-independent process with a second order (in time) nonlinear evolution equation. We propose suitable weak solution concepts and obtain existence results by passing to the limit in carefully devised time-discretization schemes. Our arguments combine techniques from the theory of gradient systems with the toolbox for rate-independent ev...