Continuum model of microstructure induced softening for strain gradient materials
Author:
- 23 February 2018
- journal article
- research article
- Published by SAGE Publications in Mathematics and Mechanics of Solids
- Vol. 24 (8) , 2374-2391
Abstract
Gradient plasticity has been introduced to predict localization bands induced by softening or damage, and has been extended to micromorphic models used for materials with microstructure and scale effects. Motivated by the consideration that in complex materials there may exist different mechanisms for the evolution of anelastic deformation at the small and at the large scale, and that they may interact, in the paper a model of second gradient material with two different evolution laws for the macroscopic and for the microscopic plastic strain is proposed, the latter related to the presence of second gradient deformation. The model is intended to be used for metamaterials, and its relevant properties can be obtained from an homogenization analysis at the microlevel.Keywords
This publication has 48 references indexed in Scilit:
- Behavior of poroelastic isotropic beam derivation by asymptotic expansion methodJournal of the Mechanics and Physics of Solids, 2012
- Entropy Production: Its Role in Non-Equilibrium ThermodynamicsEntropy, 2011
- Finite-Difference Time-Domain Methods and Material Models for the Simulation of Metallic and Plasmonic StructuresJournal of Computational and Theoretical Nanoscience, 2010
- Avalanches and Slip Patterning in Plastic DeformationJournal of the Mechanical Behavior of Materials, 2003
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement GradientsMathematics and Mechanics of Solids, 2003
- A reformulation of strain gradient plasticityJournal of the Mechanics and Physics of Solids, 2001
- Localization of deformation in plane elastic–plastic solids with anisotropic elasticityJournal of the Mechanics and Physics of Solids, 2000
- Gradient Theory and its Applications to Stability Analysis of Materials and StructuresJournal of the Mechanical Behavior of Materials, 1996
- A gradient flow theory of plasticity for granular materialsActa Mechanica, 1991
- A note on the thermodynamics of Maxwell bodies, Kelvin bodies (Voigt bodies), and fluidsPhysica, 1962