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Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations

Submitted by Oleg Kirillov on

Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid- and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems.

A New Model of Orthotropic Bodies

Submitted by Jiang Ke on

The solution of linearly elastic and orthotropic solid bodies is very complicated, thus a new element model for solving linearly elastic and orthotropic bodies is presented by using the generalized Hooke's law and the superposition principle. This new model is a simple truss consisting of some bars, and then the solution of orthotropic body becomes simple. Furthermore, this new model reveals the physical mechanism of a solid body under the action of applied forces.

Keywords: Elasticity, new model, orthotropic body, truss, generalized Hooke's law

A New Element Model of Solid Bodies

Submitted by Jiang Ke on

Based on the generalized Hooke's law and the superposition principle, a new element model of linearly elastic and orthotropic solid bodies is presented. Furthermore, the paper provides a new method for analyzing solid bodies. This new element is a simple truss, and a solid body is considered to consist of many such truss elements, then the solid body becomes a truss structure. Thus the internal forces and displacements of the solid body can be obtained by calculating this truss structure.

Keywords: solid body, element model, Elasticity, Hooke's law, truss element

Saint-Venant's Principle: Experimental and Analytical

Submitted by Jian-zhong Zhao on

Mathematical provability , then classi cation, of Saint-Venant's Principle are discussed. Beginning with the simplest case of Saint-Venant's Principle, four problems of elasticity are discussed mathematically. It is concluded that there exist two categories of elastic problems concerning Saint-Venant's Principle: Experimental Problems, whose Saint-Venant's Principle is established in virtue of supporting experiment, and Analytical Problems, whose Saint-Venant's decay is proved or disproved mathematically, based on fundamental equations of linear elasticity.

Papers on MD simulation and multiscale modeling of polymer based nanocomposites

Submitted by rrahman on

Dear Colleagues,

 I am glad to share my papers on MD simulation and multiscale moldeling of polymer based nanocomposites. 
 
MD simulation of graphene-epoxy nanocomposites:

Open Ph. D. Position in Dept. of Mechanical Engg. in NC A & T State University

Submitted by tsain on

Multiple Phd. positions are available in the area of computational solid mechanics with an emphasis on multiscale modeling of polymer nanocomposites, high strain rate characterization of novel nanocomposite materials,  in Mechanical Engg. Dept. in North Carolina A & T State University. Interested candidates are encouraged to communicate via email to tsain [at] ncat.edu and/or mannur [at] ncat.edu