Analysis and calibration of a three-invariant plasticity model for granular materials

Sture, Stein; Runesson, Kenneth; Macari-Pasqualino, Emir

doi:10.1007/bf00532255

Cited by 31 publications

(38 citation statements)

References 4 publications

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“…For complex material models, these derivatives are either not available or computationally too expensive [6,10,19,29]. The standard approach in these cases is to use nonlinear solvers (different from the Newton-Raphson method, i.e.…”

Section: Local Problem: Integration Of the Constitutive Lawmentioning

confidence: 99%

Numerical differentiation for local and global tangent operators in computational plasticity

Foguet

Ferran

Huerta

2000

Computer Methods in Applied Mechanics and Engineering

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In this paper, numerical differentiation is applied to integrate plastic constitutive laws and to compute the corresponding consistent tangent operators. The derivatives of the constitutive equations are approximated by means of difference schemes. These derivatives are needed to achieve quadratic convergence in the integration at Gauss-point level and in the solution of the boundary value problem. Numerical differentiation is shown to be a simple, robust and competitive alternative to analytical derivatives. Quadratic convergence is maintained, provided that adequate schemes and stepsizes are chosen. This point is illustrated by means of some numerical examples.

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Section: Local Problem: Integration Of the Constitutive Lawmentioning

confidence: 99%

Numerical differentiation for local and global tangent operators in computational plasticity

Foguet

Ferran

Huerta

2000

Computer Methods in Applied Mechanics and Engineering

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“…In this subsection a triaxial test with end-platen friction is analysed with the MRS-Lade model [8,9,10] and substepping. The MRS-Lade model is used to simulate the behaviour of granular materials under both low and high confinement stresses [16,17].…”

Section: Triaxial Test With the Mrs-lade Modelmentioning

confidence: 99%

Consistent tangent matrices for substepping schemes

Foguet

Ferran

Huerta

2001

Computer Methods in Applied Mechanics and Engineering

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“…The model relies on the development behind the so-called MRS}Lade model [51] and is subsequently denoted the B}Model. The B}Model is a single-surface model, with uncoupled cone portion and cap portion hardening.…”

Section: Materials Modelmentioning

confidence: 99%

Finite deformation analysis of geomaterials

Jeremić

Runesson

Sture

2001

Num Anal Meth Geomechanics

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SUMMARYThe mathematical structure and numerical analysis of classical small deformation elasto}plasticity is generally well established. However, development of large deformation elastic}plastic numerical formulation for dilatant, pressure sensitive material models is still a research area.In this paper we present development of the "nite element formulation and implementation for large deformation, elastic}plastic analysis of geomaterials. Our developments are based on the multiplicative decomposition of the deformation gradient into elastic and plastic parts. A consistent linearization of the right deformation tensor together with the Newton method at the constitutive and global levels leads toward an e$cient and robust numerical algorithm. The presented numerical formulation is capable of accurately modelling dilatant, pressure sensitive isotropic and anisotropic geomaterials subjected to large deformations. In particular, the formulation is capable of simulating the behaviour of geomaterials in which eigentriads of stress and strain do not coincide during the loading process.The algorithm is tested in conjunction with the novel hyperelasto}plastic model termed the B material model, which is a single surface (single yield surface, a$ne single ultimate surface and a$ne single potential surface) model for dilatant, pressure sensitive, hardening and softening geomaterials. It is speci"cally developed to model large deformation hyperelasto}plastic problems in geomechanics.We present an application of this formulation to numerical analysis of low con"nement tests on cohesionless granular soil specimens recently performed in a SPACEHAB module aboard the Space Shuttle during the STS-89 mission. We compare numerical modelling with test results and show the signi"cance of added con"nement by the thin hyperelastic latex membrane undergoing large stretching.

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Analysis and calibration of a three-invariant plasticity model for granular materials

Cited by 31 publications

References 4 publications

Numerical differentiation for local and global tangent operators in computational plasticity

Numerical differentiation for local and global tangent operators in computational plasticity

Consistent tangent matrices for substepping schemes

Finite deformation analysis of geomaterials

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