The application of the principles of mechanics to bulk matter is conventionally divided into the mechanics of fluids and the mechanics of solids. The entire subject is often called continuum mechanics, particularly when we adopt the useful model of matter as being continuously divisible, making no reference to its discrete structure at microscopic length scales well below those of the applicati...

School of Mathematical Sciences, Zhejiang University, Zhejiang 310027, China. Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China. Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China. School of Engineering Science, University of the Chinese Academy Sciences, Beijing 10049, C...

This paper develops the foundations of the multisymplectic formulation of nonsmooth continuum mechanics. It may be regarded as a PDE generalization of previous techniques that developed a variational approach to collision problems. These methods have already proved of value in computational mechanics, particularly in the development of asynchronous integrators and efficient collision methods. T...

A method is presented for incorporating a solid into a coarse grain liquid model. From the fully atomistic solid-liquid site-site description the solid is replaced by an implicit potential. The liquid particles are then coarse grained by appealing to statistical mechanics and probability theory. The dimensionality problem which arises is overcome with an approximate treatment and a force field ...

A molecular mechanics force field has been developed which accurately reproduces experimental solid state structures and conformer interconversion barriers for a series of sterically congested diaryl and triaryl phosphines and some of their chalcogenide and Cr(CO)5 derivatives.

Effective properties of materials with random heterogeneous structures are typically determined by homogenising the mechanical quantity interest in a window observation. The entire problem setting encompasses solution local PDE and some averaging formula for such domain. There relatively standard methods literature to completely determine formulation except two choices: i) domain itself ii) bou...