Stressed state of a piecewise-homogeneous phate with an elastic inclusion

1983 ◽  
Vol 19 (5) ◽  
pp. 458-463
Author(s):  
A. A. Syas'kii ◽  
V. A. Syas'kii
Keyword(s):  
Stressed State ◽  
Elastic Inclusion

Cosserat Modeling of Size Effects in Crystalline Solids

2000 ◽  
Vol 653 ◽  
Author(s):  
Samuel Forest
Keyword(s):  
Stress State ◽  
Size Effects ◽  
Elastic Inclusion ◽  
Characteristic Size ◽  
Infinite Matrix ◽  
Crystalline Solids ◽  
Generalized Continua ◽  
Absolute Size ◽  
Kink Bands ◽  
The Matrix

AbstractThe mechanics of generalized continua provides an efficient way of introducing intrinsic length scales into continuum models of materials. A Cosserat framework is presented here to descrine the mechanical behavior of crystalline solids. The first application deals with the problem of the stress field at a crak tip in Cosserat single crystals. It is shown that the strain localization patterns developping at the crack tip differ from the classical picture : the Cosserat continuum acts as a bifurcation mode selector, whereby kink bands arising in the classical framework disappear in generalized single crystal plasticity. The problem of a Cosserat elastic inclusion embedded in an infinite matrix is then considered to show that the stress state inside the inclusion depends on its absolute size lc. Two saturation regimes are observed : when the size R of the inclusion is much larger than a characteristic size of the medium, the classical Eshelby solution is recovered. When R is much small than the inclusion, a much higher stress is reached (for an inclusion stiffer than the matrix) that does not depend on the size any more. There is a transition regime for which the stress state is not homogeneous inside the inclusion. Similar regimes are obtained in the study of grain size effects in polycrystalline aggregates of Cosserat grains.

Bending of sheets and profiles on a four-roll machine for rocket bodies, tube and frame products. Part 4

2020 ◽  
pp. 45-54
Author(s):  
V.A. Zharkov
Keyword(s):  
Mathematical Model ◽  
Stressed State ◽  
Sheet Stamping ◽  
Formation Of Cracks ◽  
Processing Steps

A theory and a mathematical model are developed for calculating the parameters of the strain-stressed state at the stages of pre-bending, calibration, straightening and bending of the straightened section, taking into account the strengthening of the billet on a roll machine. By CAD/CAE modeling the strains, stresses and forces acting on the billet from the rolls are investigated. Criteria for the formation of cracks, low accuracy and excessive springing of the billet after these processing steps are determined, recommendations are given for their elimination. Keywords billet, sheet stamping, bending, roll machine, pre-bending, calibration, straightening, bending of the straightened section, CAD/CAE modeling. [email protected]

Two-Dimensional Stressed State of an Adhesive Joint. Nonclassical Problem

2021 ◽  
Vol 254 (1) ◽  
pp. 156-163
Author(s):  
S. S. Kurennov ◽  
О. G. Polyakov ◽  
K. P. Barakhov
Keyword(s):  
Stressed State ◽  
Adhesive Joint ◽  
Two Dimensional ◽  
Nonclassical Problem
Sign in / Sign up

Export Citation Format

Share Document