scholarly journals A Consideration of the Occurrence Condition of Irreversible Fracture of Homogeneous Isotropic Linear Elastic Body by Thermodynamics

2017 ◽  
Vol 66 (5) ◽  
pp. 355-358
Author(s):  
Ken KOYAMA
Keyword(s):  
Elastic Body ◽  
Linear Elastic ◽  
Linear Elastic Body

On the Motion of an Elastic Body Rolling/Sliding on an Elastic Substrate

1995 ◽  
Vol 117 (2) ◽  
pp. 308-314 ◽  
Author(s):  
A. Spector ◽  
R. C. Batra
Keyword(s):  
Elastic Body ◽  
Frictional Force ◽  
Three Dimensional ◽  
The Body ◽  
Elastic Substrate ◽  
Linear Elastic ◽  
Linear Elastic Body ◽  
Body Rolling ◽  
Applied Forces ◽  
Two Phases

The three-dimensional evolutionary problem of rolling/sliding of a linear elastic body on a linear elastic substrate is studied. The inertial properties of the body regarded as rigid are accounted for. By employing an asymptotic analysis, it is shown that the process can be divided into two phases: transient and quasistationary. An expression for the frictional force as a function of the externally applied forces and moments, and inertial properties of the body is derived. For an ellipsoid rolling/sliding on a linear elastic substrate, numerical results for the frictional force distribution, slip/adhesion subareas, and the evolution of the slip velocity are given.

The Physical Meaning of Astatic Equilibrium in Saint-Venant’s Principle for Linear Elasticity

1969 ◽  
Vol 36 (3) ◽  
pp. 392-396 ◽  
Author(s):  
C. A. Berg
Keyword(s):  
Stress Field ◽  
Elastic Body ◽  
Long Range ◽  
Small Volume ◽  
Boundary Surface ◽  
Small Region ◽  
Main Body ◽  
Linear Elastic ◽  
Loading System ◽  
Linear Elastic Body

When a boundary loading which is not only self-equilibrated but has the additional property that the loading system remains self-equilibrated when all the forces are rotated through an arbitrary angle about their points of application (astatic equilibrium), is applied to a small region of the surface of a linear elastic body, the long range stress field produced by the loading is in general of smaller order (with respect to the radius of the loaded segment of the boundary) than would be the long range stress field produced by a loading system which was merely self-equilibrating but which would not continue to be self-equilibrating if each force were rotated (von Mises [3], Sternberg [6]). The physical distinctions between astatic equilibrium loadings and merely self-equilibrated loadings, and the physical reasons why astatic equilibrium loadings produce smaller long range stresses, are examined. It is pointed out that astatic equilibrium loadings always produce zero mean deformation in a linear elastic body and that, therefore, if a small volume element, in the neighborhood of a small patch of the boundary surface subject to astatic equilibrium loading were considered as an isolated body, this small volume would undergo no mean deformation and would be easier to fit back into the main body than if it had been subject to merely self-equilibrated loading which would have caused mean deformation.

230 Shape optimization of fundamental boundary in linear elastic body

2015 ◽  
Vol 2015.28 (0) ◽  
pp. _230-1_-_230-2_
Author(s):  
Hiroaki Goto ◽  
Hideyuki AZEGAMI
Keyword(s):  
Shape Optimization ◽  
Elastic Body ◽  
Linear Elastic ◽  
Linear Elastic Body ◽  
Fundamental Boundary

scholarly journals Finite-volume stress analysis in multi-material linear elastic body

2012 ◽  
Vol 93 (4) ◽  
pp. 400-419 ◽  
Author(s):  
Ž. Tuković ◽  
A. Ivanković ◽  
A. Karač
Keyword(s):  
Stress Analysis ◽  
Elastic Body ◽  
Finite Volume ◽  
Linear Elastic ◽  
Linear Elastic Body ◽  
Volume Stress

Rolling/sliding of a linear elastic body on a deformable layered substrate

1994 ◽  
Vol 29 (3) ◽  
pp. 335-348
Author(s):  
A. Spector ◽  
R.C. Batra
Keyword(s):  
Elastic Body ◽  
Linear Elastic ◽  
Layered Substrate ◽  
Linear Elastic Body

Surface Instability of a Semi-Infinite Elastic Body Under Surface van der Waals Forces

2004 ◽  
Vol 71 (1) ◽  
pp. 138-140 ◽  
Author(s):  
C. Q. Ru
Keyword(s):  
Elastic Body ◽  
Van Der Waals ◽  
Van Der Waals Forces ◽  
Interaction Coefficient ◽  
Deformation Field ◽  
Van Der Waals Interaction ◽  
Linear Elastic ◽  
Surface Wrinkling ◽  
Linear Elastic Body ◽  
Infinite Linear

It is shown that the surface of a semi-infinite linear elastic body attracted by a rigid flat through van der Waals-like forces is always unstable. The wavelength of the surface wrinkling is finite and decreases with the van der Waals interaction coefficient. In particular, this result implies that the deformation field of the semi-infinite linear elastic body attracted by a rigid flat cannot be determined uniquely.

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