Analytical and numerical investigation of strain-hardening viscoplastic thick-walled cylinders under internal pressure by using sequential limit analysis

Leu, S.-Y.

doi:10.1016/j.cma.2007.02.001

Cited by 27 publications

(11 citation statements)

References 35 publications

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“…Sequential limit-analysis (Yang, 1993;Leu, 2007) heuristically extends the methods and results of classical limit-analysis by incorporating the effects of strain hardening and geometric changes. The idea is, still disregarding elasticity, to consider a hardenable material as the sequence of different, successive rigid-ideal plastic materials.…”

Section: Principles Of Limit-analysismentioning

confidence: 99%

A Gurson-type layer model for ductile porous solids with isotropic and kinematic hardening

Morin

Michel

Leblond

2017

International Journal of Solids and Structures

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The aim of this work is to propose a Gurson-type model for ductile porous solids exhibiting isotropic and kinematic hardening. The derivation is based on a "sequential limit-analysis" of a hollow sphere made of a rigid-hardenable material. The heterogeneity of hardening is accounted for by discretizing the cell into a finite number of spherical layers in each of which the quantities characterizing hardening are considered as homogeneous. A simplified version of the model is also proposed, which permits to extend the previous works of Leblond et al. (1995) andLacroix et al. (2016) for isotropic hardening to mixed isotropic/kinematic hardening. The model is finally assessed through comparison of its predictions with the results of some micromechanical finite element simulations of the same cell. First, the numerical and theoretical overall yield loci are compared for given distributions of isotropic and kinematic pre-hardening. Then the predictions of the model are investigated in evolution problems in which both isotropic and kinematic hardening parameters vary in time. A very good agreement between model predictions and numerical results is found in both cases.

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Section: Principles Of Limit-analysismentioning

confidence: 99%

A Gurson-type layer model for ductile porous solids with isotropic and kinematic hardening

Morin

Michel

Leblond

2017

International Journal of Solids and Structures

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“…The action of the internal pressure is simulated with the innermost edge expanding uniformly at a constant speed V . In the following cases, we adopt the consistently non-dimensional parameters [8] : a 0 = 5.0, b 0 = 10.0, V = 0.01. The material properties [9] are for an aluminum material having K = 145 MPa, c = −2.5 N. Let l = |c| K = 0.131 3 μm be a characteristic length, which is a material constant.…”

Section: Numerical Resultsmentioning

confidence: 99%

Limit analysis of viscoplastic thick-walled cylinder and spherical shell under internal pressure using a strain gradient plasticity theory

Ming-fu

2008

Appl. Math. Mech.-Engl. Ed.

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Plastic limit load of viscoplastic thick-walled cylinder and spherical shell subjected to internal pressure is investigated analytically using a strain gradient plasticity theory. As a result, the current solutions can capture the size effect at the micron scale. Numerical results show that the smaller the inner radius of the cylinder or spherical shell, the more significant the scale effects. Results also show that the size effect is more evident with increasing strain or strain-rate sensitivity index. The classical plastic-based solutions of the same problems are shown to be a special case of the present solution.

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“…Horne and Merchant, 1965;Hwan, 1997;Leu, 2003;Leu, 2005;Leu and Chen, 2006;Corradi and Panzeri, 2004;Seitzberger and Rammerstorfer, 1999;Yang, 1993;Huh et al, 1999;Huh et al, 2001;Kim and Huh, 2006;Leu, 2007) extended the conventional limit analysis concept to isotropic strain hardening materials instead of perfectly plastic ones, and small deformations to large ones. The idea of sequential limit analysis considers that the plastic collapse evolution is a sequence of conventional limit analyses with a yield stress updated at each one.…”

Section: Introductionmentioning

confidence: 97%

Plastic collapse in presence of non-linear kinematic hardening by the bipotential and the sequential limit analysis approaches

Chaaba

2010

Mechanics Research Communications

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Analytical and numerical investigation of strain-hardening viscoplastic thick-walled cylinders under internal pressure by using sequential limit analysis

Cited by 27 publications

References 35 publications

A Gurson-type layer model for ductile porous solids with isotropic and kinematic hardening

A Gurson-type layer model for ductile porous solids with isotropic and kinematic hardening

Limit analysis of viscoplastic thick-walled cylinder and spherical shell under internal pressure using a strain gradient plasticity theory

Plastic collapse in presence of non-linear kinematic hardening by the bipotential and the sequential limit analysis approaches

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