Non-convex rate dependent strain gradient crystal plasticity and deformation patterning

Date

2012-09-15

Author

Yalçınkaya, Tuncay
Geers, M.G.D.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

226
views

0
downloads

A rate dependent strain gradient crystal plasticity framework is presented where the displacement and the plastic slip fields are considered as primary variables. These coupled fields are determined on a global level by solving simultaneously the linear momentum balance and the slip evolution equation, which is derived in a thermodynamically consistent manner. The formulation is based on the 1D theory presented in Yalcinkaya et al. (2011), where the patterning of plastic slip is obtained in a system with non-convex energetic hardening through a phenomenological double-well plastic potential. In the current multidimensional multi-slip analysis the non-convexity enters the framework through a latent hardening potential presented in Ortiz and Repettto (1999) where the microstructure evolution is obtained explicitly via a lamination procedure. The current study aims the implicit evolution of deformation patterns due to the incorporated physically based non-convex potential.

Subject Keywords

Localization, Crystal plasticity, Strain gradient, Non-convexity, Patterning, Dislocation-microstructure

URI

https://hdl.handle.net/11511/35665

Journal

International Journal of Solids and Structures

DOI

https://doi.org/10.1016/j.ijsolstr.2012.05.029

Collections

Department of Aerospace Engineering, Article

Suggestions

OpenMETU
Core

Intragranular deformation patterning through non convex rate dependent strain gradient crystal plasticity Yalçınkaya, Tuncay (2012-12-03) A rate dependent strain gradient crystal plasticity framework is presented where the displacement and the plastic slip fields are considered as primary variables. These coupled fields are determined on a global level by solving simultaneously the linear momentum balance and the slip evolution equation, which is derived in a thermodynamically consistent manner. The formulation is based on the 1D theory presented in Yalcinkaya et al. (2011), where the patterning of plastic slip is obtained in a system with no...
Plastic slip patterns through rate-independent and rate-dependent plasticity Lancioni, Giovanni; Yalçınkaya, Tuncay (2014-05-09) Plastic deformation induces various types of dislocation microstructures at different length scales, which eventually results in a heterogeneous deformation field in metallic materials. Development of such structures manifests themselves as macroscopic hardening/softening response and plastic anisotropy during strain path changes, which is often observed during forming processes. In this paper we present two different non-local plasticity models based on non-convex potentials to simulate the intrinsic rate-...
Intrinsic and Statistical Size Effects in Microforming Yalçınkaya, Tuncay; Simonovski, Igor; ÖZDEMİR, İZZET (2017-04-28) This paper analyzes the intrinsic (grain size dependent) and the statistical (grain number and orientation distribution dependent) size effects of micron level polycrystalline metallic specimens under plastic deformation through a strain gradient crystal plasticity framework. The macroscopic and local behavior of specimens from very limited number of grains to high number of grains are studied and the results are discussed in detail taking into account different boundary conditions.
Nonlinear vibrations of curved single and doublewalled carbon nanotubes / Samandari, Hamed; Ciğeroğlu, Ender; Department of Mechanical Engineering (2014) In this thesis, effects of Geometric, initial curvature, and van der Waals (vdW) interlayer force nonlinearities on the variation of nonlinear natural frequency of Carbon Nanotubes (CNTs) are investigated in detail throughout several case studies. Galerkin method with a single trial function, which is the eigenfunction of the linear system, is widely used in literature in studying nonlinear vibrations of CNTs. However, eigenfunctions of the nonlinear systems can be significantly different than the eigenfunc...
Polycrystalline plasticity modeling of anisotropic grain structures and statistical size effect in metallic alloys Orhun, Bulut; Yalçınkaya, Tuncay; Department of Aerospace Engineering (2022-6-14) In this thesis, two important microstructural phenomena affecting the plastic behavior of metallic materials are addressed through a local crystal plasticity modeling framework. Initially the influence of anisotropic grain structure developing during various forming procedures and additive manufacturing processes is studied following a multiscale modeling strategy, where Representative Volume Elements (RVEs) are analyzed under axial loading conditions. Macroscopic response of different degrees of anisotropi...

Citation Formats

T. Yalçınkaya and M. G. D. Geers, “Non-convex rate dependent strain gradient crystal plasticity and deformation patterning,” International Journal of Solids and Structures, pp. 2625–2636, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35665.