Topic
Continuum mechanics
About: Continuum mechanics is a research topic. Over the lifetime, 5042 publications have been published within this topic receiving 181027 citations.
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TL;DR: In this paper, the physical processes near a moving contact line are investigated systematically using molecular dynamics and continuum mechanics, and it is found that in the flow regime studied, the deviation of the wall contact angle from the equilibrium contact angle is proportional to the velocity of the contact line.
Abstract: The physical processes near a moving contact line are investigated systematically using molecular dynamics and continuum mechanics. Constitutive relations for the friction force in the contact line region, the fluid-fluid interfacial force, and the stresses in the fluid-solid interfacial region are studied. Verification of force balance demonstrates the importance of the normal stress jump across the contact line region. Effective boundary conditions are derived using force balance. It is found that in the flow regime studied, the deviation of the wall contact angle from the equilibrium contact angle is proportional to the velocity of the contact line. The effective continuum model is solved numerically and the behavior of the apparent contact angle and the wall contact angle is studied. It is found that the fluid-fluid interface near the wall exhibits a universal behavior. The onset of the nonlinear response for the contact line motion is studied within the framework of Blake’s molecular kinetic theory.
245 citations
01 Sep 2005
TL;DR: In this article, structural mapping techniques and tools have been used to characterize structures using differential geometry, including force, traction and stress, and elastic deformation and flow, and conservation of mass and momentum.
Abstract: 1. Motivations and opportunities 2. Structural mapping techniques and tools 3. Characterizing structures using differential geometry 4. Physical quantities, fields, dimensions and scaling 5. Deformation and flow 6. Force, traction and stress 7. Conservation of mass and momentum 8. Elastic deformation 9. Brittle behavior 10. Viscous flow 11. Rheological behavior 12. Model development and methodology Index.
242 citations
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10 Mar 2008TL;DR: In this article, the authors present a finite element formulation for small deformation, large rotation problem, and force and stresses for large deformation and rotation problem with a small number of forces.
Abstract: 1. Introduction 2. Kinematics 3. Forces and stresses 4. Constitutive equations 5. Plasticity formulations 6. Finite element formulation: large deformation, large rotation problem 7. Finite element formulation: small deformation, large rotation problem.
238 citations
TL;DR: This work investigates the validity of the plate idealization of ultrathin graphene by gaining insight into the response of chemical bonds to bending deformations and objective molecular dynamics simulations identify the validity margin and the role of discreteness in the Plate idealization.
Abstract: Deviations from continuum mechanics are always expected in nanoscale structures. We investigate the validity of the plate idealization of ultrathin graphene by gaining insight into the response of chemical bonds to bending deformations. In the monolayer, a bond orbital model reveals the breakdown of the plate phenomenology. In the multilayer, objective molecular dynamics simulations identify the validity margin and the role of discreteness in the plate idealization. Our result has implications for a broad class of phenomena where the monolayer easily curves, and for the design of mass and force detection devices.
238 citations