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Dislocation pattern formation in finite deformation crystal plasticity

Submitted by sairajatm on

Rajat Arora        Amit Acharya


Stressed dislocation pattern formation in crystal plasticity at finite deformation is demonstrated for the first time. Size effects are also demonstrated within the same mathematical model. The model involves two extra material parameters beyond the requirements of standard classical crystal plasticity theory. The dislocation microstructures shown are decoupled from deformation microstructures, and emerge without any consideration of latent hardening or constitutive assumptions related to cross-slip. Crystal orientation effects on the pattern formation and mechanical response are also demonstrated. The manifest irrelevance of the necessity of a multiplicative decomposition of the deformation gradient, a plastic distortion tensor, and the choice of a reference configuration in our model to describe the micromechanics of plasticity as it arises from the existence and motion of dislocations is worthy of note.

On the Structure of Linear Dislocation Field Theory

Submitted by Amit Acharya on

Amit Acharya          Robin J. Knops         Jeyabal Sivaloganathan

(In JMPS, 130 (2019), 216-244)

Uniqueness of solutions in the linear theory of non-singular dislocations, studied as a special case of plasticity theory, is examined. The status of the classical, singular Volterra dislocation problem as a limit of plasticity problems is illustrated by a specific example that clarifies the use of the plasticity formulation in the study of classical dislocation theory. Stationary, quasi-static, and dynamical problems for continuous dislocation distributions are investigated subject not only to standard boundary and initial conditions, but also to prescribed dislocation density. In particular, the dislocation density field can represent a single dislocation line.

It is only in the static and quasi-static traction boundary value problems that such data are sufficient for the unique determination of stress. In other quasi-static boundary value problems and problems involving moving dislocations, the plastic and elastic distortion tensors, total displacement, and stress are in general non-unique for specified dislocation density. The conclusions are confirmed by the example of a single screw dislocation.

https://www.researchgate.net/publication/328792035_On_the_Structure_of_Linear_Dislocation_Field_Theory

 

 

An efficient convergence test for the fixed point method

Submitted by mohammedlamine on

The fixed point method consists to find the solution of F(X)=X.

One can not get fixed with the convergence condition |F'(X)|<1 because if the function has an optimum then |F'(X)|=0 even if the solution is not yet reached.

 

We introduce an efficient convergence test with the condition:

|Xn+1 - Xn| ≤ epsilon1 And |F(Xn+1)-Xn+1| ≤ epsilon2

Untethered soft machines and robots enabled by hard-magnetic soft materials

Submitted by Yoonho Kim on

We introduce our recent works on advanced fabrication and mechanics of hard-magnetic soft materials towards the development of untethered soft machines and robots actuated and controlled by magnetic fields. 

- Abstract

Journal Club for November 2018: Beyond piezoelectricity: Flexoelectricity in solids

Submitted by hongjw04 on

 

Beyond piezoelectricity: Flexoelectricity in solids

Jiawang Hong

School of Aerospace Engineering, Beijing Institute of Technology

 

1. Introduction

Special Issue on GBCs in CAGD

Submitted by N. Sukumar on

In 2019, Elsevier CAGD will be publishing a special issue on ``Generalized Barycentric Coordinates,'' edited by Michael S. Floater (University of Oslo), Kai Hormann (University of Lugano), and myself.

If you expect to have any new contribution in this area, then please do consider submitting a paper to this special issue.

All the details about the special issue can be found in the attached ``Call for Papers.''

Please do not hesitate to contact me if you have any questions.

Best wishes,

-suku.