Parametric finite-volume micromechanics of periodic materials with elastoplastic phases

DOI10.1016/j.ijplas.2008.09.003zbMath1396.74040OpenAlexW1965343015MaRDI QIDQ1025195

Marek-Jerzy Pindera, Hamed Khatam

Publication date: 18 June 2009

Published in: International Journal of Plasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijplas.2008.09.003

zbMATH Keywords

homogenizationmicromechanicselastic-plastic phasesfinite-volume theoryperiodic multilayerswavy architecturesquadrilateral subvolumes

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Plastic materials, materials of stress-rate and internal-variable type (74C99) Finite volume methods applied to problems in solid mechanics (74S10) Homogenization, determination of effective properties in solid mechanics (74Q99)

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Cites Work

• Unnamed Item
• Plasticity-triggered architectural effects in periodic multilayers with wavy microstructures
• Micromechanics of particle-reinforced elasto-viscoplastic composites: Finite element simulations versus affine homogenization
• Finite-volume direct averaging micromechanics of heterogeneous materials with elastic-plastic phases
• Non-homogeneous media and vibration theory
• An analytical model for the inelastic axial shear response of unidirectional metal matrix composites
• Adaptivity and convergence in the Voronoi cell finite element model for analyzing heterogeneous materials
• Microscopic symmetric bifurcation condition of cellular solids based on a homogenization theory of finite deformation
• On the capabilities of mean-field approaches for the description of plasticity in metal matrix composites
• Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction.
• Higher-order theory for periodic multiphase materials with inelastic phases.
• Numerical determination of initial and subsequent yield surfaces of open-celled model foams
• The influence of a compressive stress on the nonlinear response of ferroelectric crystals
• Micromechanics of hardening of elastic-plastic crystals with elastic inclusions. I: Dilute concentration
• Elastic properties of reinforced solids: Some theoretical principles
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• A Second Look at the Higher-Order Theory for Periodic Multiphase Materials
• Assessment of the local stress state through macroscopic variables
• High-Fidelity Micromechanical Modeling of Continuously Reinforced Elastic Multiphase Materials Undergoing Finite Deformations
• A multi-level computational model for multi-scale damage analysis in composite and porous materials