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Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. Part I: Theoretical formulation
A derivation of the projected algorithm for general isotropic three-invariant plasticity models
under plane stress conditions is presented. It is obtained by consistently specializing the
3D formulation to the 2D subspace defined by the plane stress condition. Closed-form
intrinsic algorithm linearization and a novel expression of the consistent tangent tensor
are provided; these are also shown to directly emanate from the analogous quantities pertaining
to the fully 3D case. A detailed discussion of the proposed implementation along
with a representative set of numerical examples is provided in the second part of this paper
[Valoroso, N., Rosati, L., 2008. Consistent derivation of the constitutive algorithm for plane
stress isotropic plasticity. Part II: Computational issues. International Journal of Solids and
Structures, 46, 92–124.
Algorithmic Treatment of Isotropic Plasticity under Plane Stress Conditions
Proceedings su CD-RO
A Displacement-Like Finite Element Model for J2 Elastoplasticity: Variational Formulation and a Finite-Step Consistent Solution
On the use of the spectral decomposition of rank-four tensors in elasto/viscoplasticity
Proceedings su CD-RO
Algorithmic Treatment of Isotropic Plasticity under Plane Stress Conditions
Proceedings su CD-RO
On the use of the spectral decomposition of rank-four tensors in elasto/viscoplasticity
Proceedings su CD-RO
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