Sensitivity analysis for failure and damage in dynamically loaded tensile bars

DOI10.1016/S0045-7825(97)00289-2zbMath0910.73053OpenAlexW2094287771MaRDI QIDQ1267916

Jeanne M. Peters, Ahmed K. Noor, Alan Needleman

Publication date: 21 April 1999

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00289-2

zbMATH Keywords

finite strainsimpact loadingadiabatic heatingthermal softeningstrain-rate hardeningdirect differentiation approachautomatic differentiation softwarecritical void volume fraction criterionexplicit central difference schemefinite element semi-discretizationmaterial strainporous viscoplastic solids

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Fracture and damage (74R99) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (3)

Shape optimization and preform design in metal forming processes ⋮ Perturbation mapping method for sensitivity analysis of three-dimensional cracks near a free surface ⋮ Computational design of deformation processes for materials with ductile damage

Cites Work

• Unnamed Item
• The application of automatic differentiation to problems in engineering analysis
• A tangent modulus method for rate dependent solids
• Material Failure by Void Growth to Coalescence
• Sensitivity analysis of the non‐linear dynamic viscoplastic response of 2‐D structures with respect to material parameters

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