Amit Acharya
(in Journal of Elasticity)
The kinematic theory of Weingarten-Volterra line defects is revisited, both at small and fi nite deformations. Existing results are clari fied and corrected as needed, and new results are obtained. The primary focus is to understand the relationship between the disclination strength and Burgers vector of deformations containing a Weingarten-Volterra defect corresponding to di fferent cut-surfaces.
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We are looking for a postdoctoral research fellow who has experience with developing and implementing computational algorithms for geometry processing.
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Our current research lies broadly in the field of computational mechanics and includes the development and implementation of novel computational methods for the discretization of ordinary and partial differential equations arising in structural and continuum mechanics (such as finite element methods and isogeometric analysis), multi-disciplinary design, shape and topology optimization methods, as well as application of those methods in digital design and additive manufacturing, e.g. 3D/4D printing, lattice structures, metamaterials, composites or textiles, and integration into computer-aided design-to-manufacturing approaches.
Chiqun Zhang Amit Acharya
The utility of the notion of generalized disclinations in materials science is discussed within the physical context of modeling interfacial and bulk line defects like defected grain and phase boundaries, dislocations and disclinations. The Burgers vector of a disclination dipole in linear elasticity is derived, clearly demonstrating the equivalence of its stress field to that of an edge dislocation. We also prove that the inverse deformation/displacement jump of a defect line is independent of the cut-surface when its g.disclination strength vanishes. An explicit formula for the displacement jump of a single localized composite defect line in terms of given g.disclination and dislocation strengths is deduced based on the Weingarten theorem for g.disclination theory at finite deformation. The Burgers vector of a g.disclination dipole at finite deformation is also derived.
A PhD position is open for summer or fall 2017 in Advanced Hierarchical Materials by Design Lab at Louisiana Tech University on multiscale modeling of hierarchical materials with an emphasis on nanocomposites. The candidates must have earned a M.Sc. degree in Mechanical Engineering or related fields and have a solid background in theoretical and computational mechanics, specifically continuum mechanics and finite element modeling, and need to have the knowledge of writing computer code (preferably using C/C++).
A PhD position is open for summer or fall 2017 in Advanced Hierarchical Materials by Design Lab at Louisiana Tech University on multiscale modeling of hierarchical materials with an emphasis on nanocomposites. The candidates must have earned a M.Sc. degree in Mechanical Engineering or related fields and have a solid background in theoretical and computational mechanics, specifically continuum mechanics and finite element modeling, and need to have the knowledge of w.riting computer code (preferably using C/C++).
Job title: Research Associate/Postdoc
Minimum qualification: PhD in Solid Mechanics/Mathematics
Research area: Thermoelastic Modeling of nano and Contunuum Rods – A Molecular Approach
Salary: Rs 36000 per month + 30% HRA
Walk in interview: 3rd of Nov 2016 in Department of Applied Mechanics, IIT Delhi
Contact person: Prof. Ajeet Kumar, ajeetk [at] am.iitd.ac.in
See the attachment for more details.
Like we have the elastic strain energy density for small deformations defined as 0.5* σ :e .
Is the equation PK2:E valid for the total work energy density for elastoplastic regimes ? If not, what would be a valid equation for total energy density ?
How can we decompose total work density into elastic work and plastic work densities for a large deformation case.
Where,
PK2 is the second piola kirchoff stress tensor
E is the Green-Lagrange strain tensor
Thanks,
Prithivi
