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• W2089898417 startingPage "1439" @default.
• W2089898417 abstract "In this article the interpretation of current non-linear finite element calculations applied to constitutive equations of evolutionary type as a system of differential–algebraic equations is continued [P. Ellsiepen, S. Hartmann, Int. J. Numer. Methods Engrg. 51 (2001) 679]. This procedure is applied to a model of finite-strain viscoelasticity which incorporates a particular model of non-linear rate dependence. Three specific topics are studied: firstly, we investigate a possible treatment of the interpretation in view of mixed finite elements. Secondly, the application of stiffly accurate diagonally implicit Runge–Kutta methods, which yield on element level the same structure as a Backward-Euler-based integration step, is analysed. It is shown that the resulting stress algorithm is reducible to the solution of only three non-linear equations at each Gauss point (one Maxwell element). Lastly, the effect with respect to expense and achievable accuracy of a time-adaptive procedure is focused, which is necessary in the case of different time scales such as relaxation or creep dominated processes." @default.
• W2089898417 created "2016-06-24" @default.
• W2089898417 creator A5001932535 @default.
• W2089898417 date "2002-01-01" @default.
• W2089898417 modified "2023-10-16" @default.
• W2089898417 title "Computation in finite-strain viscoelasticity: finite elements based on the interpretation as differential–algebraic equations" @default.
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• W2089898417 doi "https://doi.org/10.1016/s0045-7825(01)00332-2" @default.
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