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  • 1
    Electronic Resource
    Electronic Resource
    On the finite element implementation of rubber-like materials at finite strains (1997)
    Bradford : Emerald
    Engineering computations 14 (1997), S. 216-232 
    Details
    ISSN: 0264-4401
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Technology
    Notes: Derives a formulation for spatial stress tensors and spatial material tensors of hyperelastic material. Looks at a class of materials with the strain energy function decomposed into a volumetric and a deviatoric part. Separate terms formulate the strain energy with respect to the invariants of the left Cauchy-Green tensor. Stress and material tensors, which play a crucial role in the solution process of the finite element formulation, are derived solely in the current configuration. Applies the described framework to several different constitutive models based on phenomenologically and physically motivated material descriptions. Proposes a formulation for the finite element implementation of van der Waals material. Compares numerical results with experimental investigations given in the literature. For three-dimensional finite element computations standard elements and mixed elements, based on a three-field variational principle where displacements, the hydrostatic pressure and the dilatations are independent variables, are used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/02644409710166190
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    An efficient viscoelastic formulation for steady-state rolling structures (1998)
    Springer
    Computational mechanics 22 (1998), S. 395-403 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Based on the generalized Maxwell-model, a viscoelastic material approach for steady-state rolling structures has been developed. Unlike a transient finite element formulation the final state is attained in a few load increments and just one time step. The consistent linearization of the steady-state viscoelastic constitutive formulation leads to additional coupling matrices so that the number of non-zero entries in the global stiffness matrix is increased. The steady-state formulation of the viscoelastic material approach as well as the transient formulation allow the addition of so-called Prandtl-elements to consider elastoplastic effects, too. Numerical results confirm the robustness, reliability and capability of the steady-state viscoelastic material formulation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660050371
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Formulation and implementation of three-dimensional viscoelasticity at small and finite strains (1997)
    Springer
    Computational mechanics 19 (1997), S. 228-239 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Purely elastic material models have a limited validity. Generally, a certain amount of energy absorbing behaviour can be observed experimentally for nearly any material. A large class of dissipative materials is described by a time- and frequency-dependent viscoelastic constitutive model. Typical representatives of this type are polymeric rubber materials. A linear viscoelastic approach at small and large strains is described in detail and this makes a very efficient numerical formulation possible. The underlying constitutive structure is the generalized Maxwell-element. The derivation of the numerical model is given. It will be shown that the developed isotropic algorithmic material tensor is even valid for the current configuration in the case of large strains. Aspects of evaluating experimental investigations as well as parameter identification are considered. Finally, finite element simulations of time-dependent deformations of rubber structures using mixed elements are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660050171
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    Paper (German National Licenses)
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