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Formulation and Computation of Geometrically Non-linear Gradient Damage by Paul Steinmann is a Engineering article available to read on EtoBox.
What is Formulation and Computation of Geometrically Non-linear Gradient Damage about?
The aim of this contribution is the extension of a small strain and small deformation formulation of gradient enhanced damage to the geometrically non-linear case. To this end, Non-local Stored Energy densities, (NSE) are introduced as primary variables. Fluxes conjugated to the gradients of the NSE are then computed from balance laws which in the small strain limit correspond to the averaging equation well known in the literature [1-3]. The principal task is then to establish constitutive laws for these newly introduced NSE-uxes. Thereby, four di erent options are investigated which are motivated from Lagrange and Euler averaging procedures together with changes of the metric tensors. Issues of the corresponding FE-formulation and its linearization within a Newton-Raphson procedure are addressed in detail. Finally, the four di erent formulations are compared for the example of a bar in tension whereby large strains are truly envisioned.
Who reads Formulation and Computation of Geometrically Non-linear Gradient Damage?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Paul Steinmann
- Publisher
- John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0029-5981)
- Published
- 1999
- Language
- EN
- Field
- Engineering (Physical Sciences)