An adaptive time‐stepping algorithm for quasistatic processes | Zendy

van den Boogaard A. H. | Zendy; De Borst R. | Zendy; van den Bogert P. A. J. | Zendy

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An adaptive time‐stepping algorithm for quasistatic processes

Author(s) -

van den Boogaard A. H.,

De Borst R.,

van den Bogert P. A. J.

Publication year - 1994

Publication title -

communications in numerical methods in engineering

Language(s) - English

Resource type - Journals

eISSN - 1099-0887

pISSN - 1069-8299

DOI - 10.1002/cnm.1640101010

Subject(s) - quasistatic process , discretization , viscoelasticity , mathematics , norm (philosophy) , algorithm , finite element method , truss , path (computing) , boundary value problem , time stepping , mathematical optimization , computer science , mathematical analysis , structural engineering , engineering , physics , quantum mechanics , political science , law , thermodynamics , programming language

A scheme is presented that automatically determines the magnitude of the time step in quasistatic boundary value problems discretized via some customary method (finite elements, finite differences). The basic idea stems from the path‐following techniques widely employed in purely static analyses in the sense that the incremental displacements, measured in some suitable norm, are constrained to a prefixed value. Examples of trusses composed of a viscoelastic material are included to demonstrate the effectiveness of the method.

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