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continuum mechanics

Postdoctoral Research Fellow in Computational Simulation and Optimization of Textiles

We are looking for a postdoctoral research fellow who has experience with developing and implementing computational algorithms for simulation and optimization in structural mechanics.
He or she will be involved in an interdisciplinary project for the development of a computational framework for the design of functional, smart, performance textiles. The objective is to develop and implement novel computational algorithms for a multi-scale and multi-physics simulation of functional textiles and fabrics, which will be at the core of a multifunctional design optimization framework. The position requires a deep understanding of structural mechanics concepts, as well as experience in algorithm development for computational simulation and optimization.

Postdoctoral Research Fellow in Computational Geometry for Textile Design & Manufacturing

We are looking for a postdoctoral research fellow who has experience with developing and implementing computational algorithms for geometry processing.
He or she will be involved in the interdisciplinary development of an enhanced computational design, optimization, and fabrication framework for functional textiles. The objective is to develop and implement novel computational algorithms for the physical realization of complex three dimensional (3D) technical textile designs using state-of-the-art CNC knitting technology.
The position requires expertise in computational geometry and software development. The candidate must be passionate about interdisciplinary, cutting-edge research and have good communicative skills.

Research Assistant in Computational Mechanics

We are looking for a research assistant who is interested in developing and implementing computational algorithms for simulation and optimization in structural mechanics applications.
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's picture

On the relevance of generalized disclinations in defect mechanics

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.

Kmomeni's picture

PhD Position in Multiscale Modeling of Hierarchical Materials

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++).

Kmomeni's picture

PhD Position in Multiscale Modeling of Hierarchical Materials

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++).

Ajeet Kumar's picture

Research Associate/Postdoc position at IIT Delhi

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@am.iitd.ac.in

See the attachment for more details.

rajan_prithivi's picture

Large Deformation - Definition of total work energy density

Choose a channel featured in the header of iMechanica: 

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

 

 

A.Tabarraei's picture

Ph.D. position in computational solid mechanics

A PhD position is available in the Department of Mechanical Engineering and Engineering Science at the University of North Carolina at Charlotte. The research project is on the multiscale modeling of the stress corrosion cracking. Candidates should have a strong background in continuum mechanics, finite elements and constitutive modeling. Programming experience in Fortran or C++ is required for this position. The starting date for this position is January 2017.

Chiqun Zhang's picture

A non-traditional view on the modeling of nematic disclination dynamics

Chiqun Zhang          Xiaohan Zhang         Amit Acharya          Dmitry Golovaty          Noel Walkington

Nonsingular disclination dynamics in a uniaxial nematic liquid crystal is modeled within a mathematical framework where the kinematics is a direct extension of the classical way of identifying these line defects with singularities of a unit vector field representing the nematic director. It is well known that the universally accepted Oseen-Frank energy is infinite for configurations that contain disclination line defects. We devise a natural augmentation of the Oseen-Frank energy to account for physical situations where, under certain conditions, infinite director gradients have zero associated energy cost, as would be necessary for modeling half-integer strength disclinations within the framework of the director theory. Equilibria and dynamics (in the absence of flow) of line defects are studied within the proposed model. Using appropriate initial/boundary data, the gradient-flow dynamics of this energy leads to non-singular, line defect equilibrium solutions, including those of half-integer strength. However, we demonstrate that the gradient flow dynamics for this energy is not able to adequately describe defect evolution. Motivated by similarity with dislocation dynamics in solids, a novel 2D-model of disclination dynamics in nematics is proposed. The model is based on the extended Oseen-Frank energy and takes into account thermodynamics and the kinematics of conservation of defect topological charge. We validate this model through computations of disclination equilibria, annihilation, repulsion, and splitting. We show that the energy function we devise, suitably interpreted, can serve as well for the modeling of equilibria and dynamics of dislocation line defects in solids making the conclusions of this paper relevant to mechanics of both solids and liquid crystals.

Georges Limbert's picture

Fully-funded PhD position in Computational Mechanics [#1] for EU students for September 2016, University of Southampton, UK

PhD project 1 (Reference: NGCM-0011)

 

Generalised asymptotic numerical methods for buckling instability problems in biological systems and bio-inspired morphing structures

Biotribology Group, nCATS
Faculty of Engineering and the Environment
University of Southampton, United Kingdom

 

Background

Modeling Materials Short Course in Erlangen, Germany

 

WHAT

Five-day short course on the fundamentals of continuum, atomistic and multiscale modeling of materials.

WHO

Prof. Ellad B. Tadmor (U. Minnesota, USA) and Prof. Ronald E. Miller (Carleton University, Canada).

WHERE

Friedrich-Alexander-Universität (FAU), Erlangen-Nürnberg, Germany

  

ACM2015 : International Conference on Advances in Applied and Computational Mechanics ,5-7 August 2015, Izmir/Turkey

We are proud to announce International Conference on Advances in Applied and Computational Mechanics, which is organized in the honor of  70th birthday of Prof.J.N.Reddy. This is a tribute for his many and lasting contribution to education and research in applied mechanics.

 

Conference will be held at  WYNDHAM GRAND Hotel, Inciralti Izmir/Turkey during August 5-7, 2015. 

Amit Acharya's picture

The metric-restricted inverse design problem

Amit Acharya         Marta Lewicka         Mohammad Reza Pakzad

In Nonlinearity, 29, 1769-1797

We study a class of design problems in solid mechanics, leading to a variation on the
classical question of equi-dimensional embeddability of Riemannian manifolds. In this general new
context, we derive a necessary and sufficient existence condition, given through a system of total
differential equations, and discuss its integrability. In the classical context, the same approach
yields conditions of immersibility of a given metric in terms of the Riemann curvature tensor.
In the present situation, the equations do not close in a straightforward manner, and successive
differentiation of the compatibility conditions leads to a more sophisticated algebraic description
of integrability. We also recast the problem in a variational setting and analyze the infimum value
of the appropriate incompatibility energy, resembling "non-Euclidean elasticity".  We then derive a
Γ-convergence result for the dimension reduction from 3d to 2d in the Kirchhoff energy scaling
regime. A practical implementation of the algebraic conditions of integrability is also discussed.

rezaavaz's picture

Constitutive modeling of hyperelastic solids reinforced by spheroidal particles under large deformations

This paper presents a homogenization-based constitutive model for the mechanical behavior of particle-reinforced elastomers with random microstructures subjected to finite deformations. The model is based on a recently developed homogenization method (Avazmohammadi and Ponte Castaneda 2013; J. Elasticity 112, 1828–1850) for two-phase, hyperelastic composites, and is able to directly account for the shape, orientation, and concentration of the particles.

Shiva Rudraraju's picture

University of Michigan Continuum Physics and FEM lectures available online

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Open.Michigan is a University of Michigan initiative that enables faculty, students, and others to share their educational resources and research with the global learning community. As part of this, Continuum Physics and Finite Element Method lectures offered by Prof. Krishna Garikipati are now available online on youtube and open.umich.edu.


The Renaissance of Continuum Mechanics

Dear friends of IMechanica:

 

Primary data mining through Web of Science
reveals that the number of papers containing “continuum mechanics ” increases
rapidly these years. This is a very exciting fact to our mechanicians. Thus, I
wrote a short paper titled “The Renaissance of Continuum Mechanics”, which was just
published online via:

 

Nuwan Dewapriya's picture

Modelling fracture of graphene using Griffith’s criterion and quantized fracture mechanics

In armchair graphene sheets, crack propagates perpendicular to the applied strain, whereas crack propagation in zigzag sheets occurs at an angle to the straining direction. This occurs due to different bond structure along armchair and zigzag directions as shown in Fig. 1. Videos 1 and 2 show the fracture of armchair and zigzag sheets, respectively.

 

Fig. 1: Armchair and zigzag directions of graohene

Amit Acharya's picture

Carlson - Mathematical Preliminaries and Continuum Mechanics 1991

I attach some class notes developed by the late Professor Donald Carlson from which many generations of students at the University of Illinois learnt Continuum Mechanics.

Zhigang Suo's picture

Textbook on linear algebra

Linear algebra is significant to many aspects of mechanics.  For some years I have been using the book by Shilov.  But this book may or may not be a good one to recommend to a student, depending on his or her prior experience.  On StackExchange Mathematics, there are several excellent threads discussing textbooks of linear algebra.  A particular recommendation was made for

Amit Acharya's picture

Continuum mechanics of the interaction of phase boundaries and dislocations in solids

Amit Acharya         Claude Fressengeas

Springer Proceedings in Mathematics and Statistics on Differential Geometry and Continuum Mechanics, Vol. 137, pages 123-165. Ed: G. Q Chen, M. Grinfeld, R.J. Knops (Proceedings of  Workshop held at the Intl. Centre for Mathematical Sciences in Edinburgh, 2013.)

Pages

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