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Finite deformation analysis of the rotating cylindrical hollow disk composed of functionally-graded incompressible hyper-elastic material
The deformations and stresses of a rotating cylindrical hollow disk made of incompressible functionally-graded hyper-elastic material are...
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Exact simulation for direction-dependent large elastic strain responses of soft fibre-reinforced composites
An explicit form of the elastic strain-energy function for direction-dependent large elastic strain behaviors of soft fiber-reinforced composites is...
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Numerical Results: Cases Where Q = Q ′
We shall now illustrate the behaviour of these algorithms on some examples. In all the cases considered here, the space of multipliers Q can be...
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Transient swelling-induced finite bending of hydrogel-based bilayers: analytical and FEM approaches
Hydrogels with their time-dependent intrinsic behaviors have recently been used widely in soft structures as sensors/actuators. One of the most...
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Influence of stretch and temperature on the energy density of dielectric elastomer generators
Application of dielectric elastomers (DE) has remarkably increased in mechatronics because they are suitable candidates for energy harvesting due to...
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FEM-BEM Coupling
The BEM is well established for the solution of linear elliptic boundary value problems. Its essential feature is the reduction of the partial...
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Analysis of Nonclassical Fracture Problems for Prestressed Bodies with Interacting Cracks
We consider two types of nonclassical fracture mechanisms, namely, the fracture of cracked bodies with initial (residual) stresses acting along the...
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Multi-axial strain-stiffening elastic potentials with energy bounds: explicit approach based on uniaxial data
According to the well-known models for rubberlike elasticity with strainstiffening effects, the unbounded strain energy is generated with the...
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Space-Time Discontinuous Galerkin Method for the Problem of Linear Elasticity
The subject of this paper is the numerical solution of the problem of dynamic linear elasticity by several time-discretization techniques based on...
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Phenomenological isotropic visco-hyperelasticity: a differential model based on fractional derivatives
The rheological equation of a standard linear solid, i.e., the Zener model, is thermodynamically consistent. Thus, it was often used as a starting...
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Numerical study of solitary waves and reversible shock structures in tubes with controlled pressure
Methods for computing and analyzing solutions for a model of a tube with elastic walls in the case of controlled internal pressure is developed. A...
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Further study of rubber-like elasticity: elastic potentials matching biaxial data
By virtue of the rational interpolation procedure and logarithmic strain, a direct approach is proposed to obtain elastic potentials that exactly...
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Radial Oscillations of Cylindrical and Spherical Shells
In this chapter, we study the radial vibrations of a cylindrical or spherical shell made of a hyperelastic, homogeneous, isotropic and incompressible...
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Viscoelasticity
Viscoelastic materials exhibit both elastic and viscous behaviors through their simultaneous storage and dissipation of mechanical energies....
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Strain
Strain has been defined and quantified a number of different ways over the past two centuries. Essentially, strain is a measure of the change in...
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Global structure stability of impact-induced tensile waves in phase-transforming materials
The global structure stability of the impact-induced tensile waves mentioned by Huang (Huang, S. J. Impact-induced tensile waves in a kind of...
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A computational framework for nonlinear elasticity
Nonlinear elasticity theory plays a fundamental role in modeling the mechanical response of many polymeric and biological materials. Such materials...
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Substrate elastic deformation due to vertical component of liquid-vapor interfacial tension
Young’s equation is a fundamental equation in capillarity and wetting, which reflects the balance of the horizontal components of the three...
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Polyconvex potentials, invertible deformations, and thermodynamically consistent formulation of the nonlinear elasticity equations
It is shown that the nonstationary finite-deformation thermoelasticity equations in Lagrangian and Eulerian coordinates can be written in a...