A multiplicative finite strain crystal plasticity formulation based on additive elastic corrector rates: Theory and numerical implementation [PDF]
The purpose of continuum plasticity models is to efficiently predict the behavior of structures beyond their elastic limits. The purpose of multiscale materials science models, among them crystal plasticity models, is to understand the material behavior and design the material for a given target.
arxiv +1 more source
Gradient structured materials have been proven to have excellent mechanical properties, such as strength–ductility synergy and excellent strain hardening.
Xihang Zhao+4 more
doaj
Strain-Gradient Crystal Plasticity Finite Element Modeling of Slip Band Formation in α-Zirconium
Two methods for the determination of geometrically necessary dislocation (GND) densities are implemented in a lower-order strain-gradient crystal plasticity finite element model. The equations are implemented in user material (UMAT) subroutines. Method I
Omid Sedaghat, Hamidreza Abdolvand
doaj +1 more source
Strain gradient polycrystal plasticity for micro-forming [PDF]
The developments in the micro-device industry has produced a substantial demand for the miniaturized metallic components with ultra-thin sheet materials that have thickness dimensions on the order of 50-500 µm which are produced through micro-forming processes.
Yalçınkaya, Tuncay+2 more
openaire +3 more sources
Effect of Strain-gradient Plasticity in Engineering Fracture Assessments [PDF]
This study implements the conventional mechanism-based strain gradient plasticity (CMSG) in the engineering fracture assessment of structural steels, to estimate both the near-tip opening displacements and the probability of brittle fracture.
Qian, Xudong+2 more
core +1 more source
Elastoplasticity of gradient-polyconvex materials [PDF]
We propose a model for rate-independent evolution in elastoplastic materials under external loading, which allows large strains. In the setting of strain-gradient plasticity with multiplicative decomposition of the deformation gradient, we prove the existence of the so-called energetic solution.
arxiv +1 more source
A critical assessment of theories of strain gradient plasticity [PDF]
Theories to extend plasticity to the micron scale have been in existence for over a decade, complemented by a growing body of experimental data. Here, materials and mechanics aspects of two prominent strain gradient theories of plasticity, due to Nix and Gao and to Fleck and Hutchinson, are assessed within the context of simple bending.
Evans, Anthony G., Hutchinson, John
openaire +3 more sources
RECENT ADVANCES IN STRAIN GRADIENT PLASTICITY
In the paper three kinds of framework of strain gradient plasticity recently developed and their applications are reviewed: strain gradient plasticity for CS solid-the couple stress-theory, strain gradient plasticity for SG solid, and mechanism-based strain gradient (MSG) plasticity. The applications are mainly focussed on the fracture problems.
Tatsuo Inoue, Keh-Chih Hwang
openaire +3 more sources
Modeling the hall-petch effect with a gradient crystal plasticity theory including a grain boundary yield criterion [PDF]
. A strain gradient crystal plasticity theory including the gradient of the equiv- alent plastic strain ∇γeq is discussed. A grain boundary yield condition is proposed in order to account for the influence of the grain boundaries ...
Bayerschen, Eric+2 more
core
Void growth in high strength aluminium alloy single crystals : a CPFEM based study [PDF]
The author thankfully acknowledges the financial support of EPSRC funding (EP/L021714/1).Peer ...
Asim, Umair+2 more
core +1 more source