Computational methods for plasticity : theory and applications

By Eduardo de, S. Neto, Djordje Peric, David R. Owen. 2008

1,254 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/5818d2747f88adb6c74942048e4eb6edcde48ad5

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Citations in the corpus

An incremental stress state dependent damage model for ductile failure prediction (2016, background): “…of the accumulated plastic strain is defined as ε̇ p = √ 2 3 ∥∥ε̇p∥∥ = γ̇ (8) Despite its simplicity, both from a mathematical and a physical point of view, the J2-based plasticity model renders extremely efficient and stable numerical algorithms (Simo and Hughes 1998; De Souza Neto et al. 2008).”
Development of a cell centred upwind finite volume algorithm for a new conservation law formulation in structural dynamics (2013, methodology): “3), typically involve a considerable change of shape and are often accompanied by nonlinear material behaviour [3, 4, 6, 7].”
Self-consistent clustering analysis: An efficient multi-scale scheme for inelastic heterogeneous materials (2016, background): “7 Traditional phenomenological constitutive relations [1, 2, 3] characterize the average behaviors of the 8 material, i.”
On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems (2017, methodology): “The effective stif fness matrix is computed as, K̂ = α(2)m αfγ(2)∆t(2) M+ αm γ∆t C+ αfK t(dkn+1) (28) Here,Kt(d n+1) is the tangent stiffness and it consists of geometric and mat erial parts which are associated with the choice of finite element discretisation, see [32, 33].”
iGIMP: An implicit generalised interpolation material point method for large deformations (2017, methodology): “In particular, the stress integration algorithm of plasticity models does not change provided that these stress and strain measures are combined with an exponential map of the plastic flow equation (see [99] or [100] for full details).”
Topology optimization of energy absorbing structures with maximum damage constraint (2017, methodology): “To this end, a coupled elastoplastic damage model proposed by Lemaitre [50] is used for representing material damage during energy absorption, wherein the material damage is represented by a scalar state variable.”
Geometric deep learning for computational mechanics Part I: Anisotropic Hyperelasticity (2020, background): “The split of the deformation gradient, following (de Souza Neto et al., 2011), is performed as follows: where the volumetric component of F is deﬁned as and the volume-preserving isochoric component as The strain energy is, thus, split in a ”tensile” and ”compressive” part, such that: where J = det…”
The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models (2015, methodology): “The Hencky hyperelastic model is the finite logarithmic strain based extension of the standard linear elastic mater ial, whose strain energy function Ψ reads [24,37]”