journal article·2015-07

Relaxing the multi-stage nested return algorithm for curved yield surfaces and nonlinear hardening laws

Michael A. Homel, Rebecca M. Brannon

International Journal of Fracture· Volume 194· Issue 1
Publisher page

Abstract

The multi-stage nested return algorithm is an efficient approach for implementing plasticity and damage models that addresses issues of nonuniqueness and nonconvergence, and which was previously shown to perform well in a variety of verification tests. Straightforward modifications to this algorithm are shown to improve the robustness for high-curvature yield surfaces and nonlinear hardening laws. Improved methods for computing the initial “fast return” are presented with application to two-surface geomodels. These modifications reduce the need for subcycling while maintaining the efficiency of the algorithm.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Metal Forming Simulation Techniques · Elasticity and Material Modeling · Numerical methods in engineering

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (7)

Show source-provided references
1. Brannon R, Fossum A, Strack O (2009) Kayenta: theory and user’s guide. Sandia Report (2282)10.2172/984159 ↗
2. Brannon R, Leelavanichkul S (2010) A multi-stage return algorithm for solving the classical damage component of constitutive models for rocks, ceramics, and other rock-like media. Int J Fract 163(1–2):133–14910.1007/s10704-009-9398-4 ↗
3. Brannon RM (2007) Elements of phenomenological plasticity: geometrical insight, computational algorithms, and topics in shock physics. In: Horie Y (ed) ShockWave science and technology reference library. Springer, Berlin, pp 225–27410.1007/978-3-540-68408-4_6 ↗
4. Clausen J, Damkilde L, Andersen L (2007) An efficient return algorithm for non-associated plasticity with linear yield criteria in principal stress space. Comput Struct 85(23):1795–180710.1016/j.compstruc.2007.04.002 ↗
5. Coombs WM, Crouch RS (2011) Non-associated reuleaux plasticity: analytical stress integration and consistent tangent for finite deformation mechanics. Comput Methods Appl Mech Eng 200(9):1021–103710.1016/j.cma.2010.11.012 ↗
6. Crouch RS, Askes H, Li T (2009) Analytical CPP in energy-mapped stress space: application to a modified Drucker–Prager yield surface. Comput Methods Appl Mech Eng 198(5):853–85910.1016/j.cma.2008.10.009 ↗
7. Homel MA, Guilkey J, Brannon RM (2015) Numerical solution for plasticity models using consistency bisection and a transformed-space closest-point return—a nongradient solution method. Comput Mech (in press)10.1007/s00466-015-1187-5 ↗