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continuum mechanics

Is peridynamics a superset of Continuum Mechanics?

Submitted by Mario Juha on

Recently, I have found a new theory, called Peridynamics, used to solve, mainly, fracture mechanics problems in materials. But, I am confused about the issue if it is a superset of continuum mechanics or is it a totally new theory that reformulate our previous understanding of continuum mechanics? How do you measure material properties with this theory? Do we need to reformulate our theories to deal with fracture mechanics problems? Is it a totally accepted scientific theory?

 

cordially,

 

Mario J. Juha

Continuum Mechanics of Line Defects in Liquid Crystals and Liquid Crystal Elastomers

Submitted by Amit Acharya on

Amit Acharya and Kaushik Dayal

 (To appear in Quarterly of Applied Mathematics)

This paper presents a generalization of traditional continuum approaches to liquid crystals and

liquid crystal elastomers to allow for dynamically evolving line defect distributions. In analogy with

recent mesoscale models of dislocations, we introduce fields that represent defects in orientational

and positional order through the incompatibility of the director and deformation ‘gradient’ fields.

Position for Research staff member at Leibniz Universität Hannover, Germany

Submitted by Hirschberger on

The Graduate School MUSIC ("Multiscale Methods for Interface Coupling") and the

Institute of Continuum Mechanics at Leibniz Universität Hannover invites

applications for a position as a

Research Staff Member in Computational Mechanics

(Salary scale E13 TV-L)

to be appointed on 1 April 2010.

The position is embedded into the Junior Research Group on „Multiscale Modelling of

Materials and Interfaces with Size Effec
ts” and is initially limited to 1 year.

Case Studies in Mesoscale Field Dislocation Mechanics

Submitted by Amit Acharya on

 (in Computational Methods for Microstructure-Property Relationships," Springer. Edited by Somnath Ghosh and Dennis Dimiduk)

Dislocation mediated continuum plasticity: case studies on modeling scale dependence, scale-invariance, and directionality of sharp yield-point

Claude Fressengeas, Amit Acharya, Armand Beaudoin

Seeking a logarithmic operator for a 4th order tensor

Submitted by wvmars on
Choose a channel featured in the header of iMechanica

I don't know whether this question has an answer, but I'd like to see what you all think:

Does anyone know whether or not the following operation is meaningful, whether it is described and defined algorithmically somewhere, and / or how to do it?

ln(Aij) = Bkm ln(Cijkm)

A and B are second order tensors

C is a 4th order tensor

The left hand side involves the natural logarithm of the 2nd order tensor A, which is no problem. 

Seeking Phd position in Mechanics / MEMS

Submitted by karthi_selvam on

Hello,

I am a Mechanical Engineer with a Masters from Indian Institute of Science Bangalore. I have been working in various fields of Mechanical Engineering: Product development of forging components and in software development of hyper-elastic finite element software development.