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1989•Publication of: Elsevier Applied Science Publishers LimitedRequires access

VISCOPLASTICITY AND PLASTICITY - NUMERICAL STABILITY REVISITED. NUMERICAL MODELS IN GEOMECHANICS. NUMOG III. PROCEEDINGS OF THE 3RD INTERNATIONAL SYMPOSIUM HELD AT NIAGARA FALLS, CANADA, 8-11 MAY 1989

Dfe Stolle, Jerry Higgins

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Abstract

This paper provides some thoughts on the numerical stability of explicit, euler-type elastic-viscoplastic time-marching schemes. Comparisons are made between initial stress and initial strain methods to demonstrate their numerical equivalence. It is shown that for linear viscoplasticity, the viscoplastic and initial strain plasticity methods are identical. This paper proposes an implicit time-marching scheme which avoids matrix inversions, thereby improving computational efficiency.(a) for the covering abstract of this conference see IRRD 824029.

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What this paper is about

This paper provides some thoughts on the numerical stability of explicit, euler-type elastic-viscoplastic time-marching schemes. Comparisons are made between initial stress and initial strain methods to demonstrate their numerical equivalence. It is shown that for linear viscoplasticity, the viscoplastic and initial strain plasticity methods are identical. This paper proposes an implicit time-marching scheme which avoids matrix inversions, thereby improving computational efficiency.(a) for the covering abstract of this conference see IRRD 824029.

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Available abstract

This paper provides some thoughts on the numerical stability of explicit, euler-type elastic-viscoplastic time-marching schemes. Comparisons are made between initial stress and initial strain methods to demonstrate their numerical equivalence. It is shown that for linear viscoplasticity, the viscoplastic and initial strain plasticity methods are identical. This paper proposes an implicit time-marching scheme which avoids matrix inversions, thereby improving computational efficiency.(a) for the covering abstract of this conference see IRRD 824029.

Key concepts: Viscoplasticity, Geomechanics, Plasticity, Stability (learning theory), Mathematics, Backward Euler method, Equivalence (formal languages), Applied mathematics

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VISCOPLASTICITY AND PLASTICITY - NUMERICAL STABILITY REVISITED. NUMERICAL MODELS IN GEOMECHANICS. NUMOG III. PROCEEDINGS OF THE 3RD INTERNATIONAL SYMPOSIUM HELD AT NIAGARA FALLS, CANADA, 8-11 MAY 1989 — Research Paper | ScholarLens