Viscoplastic bifurcation buckling of plates

Paley, M.; Aboudi, Jacob

doi:10.2514/3.10631

Cited by 15 publications

(2 citation statements)

References 11 publications

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“…Standard forms of the fourth-order tangent or consistent tangent tensors for these material models can be found in Simo and Hughes (1998), Khan and Huang (1995) and ABAQUS (2007). For the particular Bodner-Partom viscoplastic theory, Bodner (2002), the time-dependent tangent tensor has been derived by Paley and Aboudi (1991) in the form…”

Section: General Formulationmentioning

confidence: 99%

Nonlinear micromechanical formulation of the high fidelity generalized method of cells

Haj-Ali

Aboudi

2009

International Journal of Solids and Structures

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a b s t r a c tThe recent High Fidelity Generalized Method of Cells (HFGMC) micromechnical modeling framework of multiphase composites is formulated in a new form which facilitates its computational efficiency that allows an effective multiscale material-structural analysis. Towards this goal, incremental and total formulations of the governing equations are derived. A new stress update computational method is established to solve for the nonlinear material constituents along with the micromechanical equations. The method is well-suited for multiaxial finite increments of applied average stress or strain fields. Explicit matrix form of the HFGMC model is presented which allows an immediate and convenient computer implementation of the offered method. In particular, the offered derivations provide for the residual field vector (error) in its incremental and total forms along with an explicit expression for the Jacobian matrix. This enables the efficient iterative computational implementation of the HFGMC as a stand alone. Furthermore, the new formulation of the HFGMC is used to generate a nested local-global nonlinear finite element analysis of composite materials and structures. Applications are presented to demonstrate the efficiency of the proposed approach. These include the behavior of multiphase composites with nonlinearly elastic, elastoplastic and viscoplastic constituents.

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Section: General Formulationmentioning

confidence: 99%

Nonlinear micromechanical formulation of the high fidelity generalized method of cells

Haj-Ali

Aboudi

2009

International Journal of Solids and Structures

Self Cite

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“…Bodner 's hypothesis has been implemented for the buckling of thin shell in many article such as Paley and Aboudi (1991), Mikkelsen (1993) or Eslami and Shariyat (1997). Bodner 's hypothesis was also implemented in a previous article (cf.…”

Section: Introductionmentioning

confidence: 99%