It is pointed out the special meaning of some parameters which are present in the constitutive relations in Continuum Mechanics. Questions related to the stress in the rigid bodies, the incompressibility, the heat propagation and to the microstructures theory are considered (see also Grioli1)....
Albeit the simplified version of continuum mechanics (where deformation energy depends on the first gradient of placement, as established by Cauchy and Navier), has been the most studied, exploited and applied in Engineering and Physical sciences, already in the pioneering works by Gabrio Piola (act...
(11) meaning that the curvature tensor of the ASF is also negative semidefinite and, thus, an admissible stress surface must be concave everywhere in the domain. The curvature tensor, defined as the Hessian matrix of the ASF, is given by: $$\begin{aligned} {\textbf{H}}_F = \begin{bm...
The probabilistic nature of chemical phenomena in homogeneous systems has been addressed by statistical mechanics—e.g., the Boltzmann distribution describes the physical nature of molecules in populations having different states, the likelihood of which changes based on the conditions imposed on these ...
Two examples are then presented: (a) the elastic response of an elastic material with defects and (b) the assessment of size effects at the boundary of a fiber-reinforced composite.doi:10.1080/15376494.2011.584149VernereyFranck J.Taylor & Francis GroupMechanics of Advanced Materials & Structures...
continuum mechanicsdensificationdensitymodellingporositypowder metallurgytungsten alloyswork hardening/ powder compactionIn this paper, three basic hypotheses are proposed, regarding the effects of porosity and work hardening on powder compaction for building a new pressure-density relation. After a short ...
ROBERT LITMANhas spent the last 26 years guiding clients and students in the use of movement, breath and sound as a tool for personal growth, restoring healthy breathing rhythms, structural alignment, and efficient body mechanics. He is the creator of The Breathable Body workshops. ...
Here, we report that the interatomic-attractive forces applied on the convexly-curved graphene by the probe tip give rise to a pin-point breaking of the plate idealisation in the continuum mechanics, facilitating atomically-localised enhancements in its chemical reactivity and mechanical strength. ...
内容提示: Lai et al, Introduction to Continuum Mechanics Copyright 2010, Elsevier Inc 2-1 CHAPTER 2, PART A 2.1 Given [ ]1 0 2 10 1 2 and 23 0 3 3ij iS a⎡ ⎤ ⎡ ⎤⎢ ⎥ ⎢ ⎥⎡⎤ ==⎣ ⎦ ⎢ ⎥ ⎢ ⎥⎢ ⎥ ⎢ ⎥⎣ ⎦ ⎣ ⎦ ...
Results achieved by the authors in the course of research activity on continuum mechanics and electrodynamics (CME) during the past twenty years are illustrated, revised and discussed. Adoption of a geometric approach leads to renewal of concepts and methods of classical CME and to formulation inEuc...