ЗАДАЧА КРУЧЕНИЕ ДЛЯ РАДИАЛЬНО-НЕОДНОРОДНОЙ ТРАНСВЕРСАЛЬНО-ИЗОТРОПНОГО ЦИЛИНДРА МАЛОЙ ТОЛЩИНЫ (Torsion Problem for Radially Nonhomogeneous Transversally Isotropic Cylinder of Small Thickness)

2009 ◽  
Author(s):  
Sevda Akbarova
Keyword(s):  
Torsion Problem ◽  
Isotropic Cylinder ◽  
Small Thickness ◽  
Transversally Isotropic

Torsion of Cylinders With Shape Intrinsic Orthotropy

1987 ◽  
Vol 54 (4) ◽  
pp. 778-782 ◽  
Author(s):  
S. C. Cowin
Keyword(s):  
Shear Modulus ◽  
Tangent Plane ◽  
Material Symmetry ◽  
Torsion Problem ◽  
Growth Rings ◽  
Wood Tissue ◽  
Isotropic Cylinder ◽  
Linear Elastic ◽  
Elastic Cylinders ◽  
Tangential Directions

Shape intrinsic orthotropy may be thought of as the type of elastic material symmetry possessed by the wood tissue of a tree. Each year’s new growth rings form a laminate around a central core. The axes of material symmetry lie in the directions tangent and normal to the growth rings or laminates and along the axis of the cylinder. Let Gtz denote the linear elastic orthotropic shear modulus associated with the axial and tangential directions, the tangent plane of a laminate. It is shown here that, for a certain class of elastic cylinders with shape intrinsic orthotropy, the solution to the torsion problem is the same as the solution to the torsion problem for the isotropic cylinder of the same shape if the isotropic shear modulus G were replaced by the orthotropic shear modulus Gtz.

Morphological Instability of a Transversally Isotropic Solid Cylinder Under Stress

2015 ◽  
Vol 82 (3) ◽  
Author(s):  
Jérôme Colin
Keyword(s):  
Surface Diffusion ◽  
Linear Stability ◽  
Uniaxial Stress ◽  
Instability Threshold ◽  
Solid Cylinder ◽  
Morphological Instability ◽  
Isotropic Cylinder ◽  
Isotropic Solid ◽  
Transversally Isotropic

The linear stability of the surface of a transversally isotropic cylinder submitted to uniaxial stress has been theoretically investigated with respect to the development by surface diffusion of longitudinal fluctuations of its radius. The effect of stress has been characterized on the instability threshold.

Method to extract bottom and pit wall reserves in small thickness ore body mining

2019 ◽  
Vol 8 ◽  
pp. 14-20
Author(s):  
A.Yu. Cheban ◽  
◽  
G.A. Kursakin ◽  
S.I. Korneeva ◽  
A.A. Fatkulin ◽  
...  
Keyword(s):  
Small Thickness ◽  
Ore Body

Membrane theory

2017 ◽  
Author(s):  
David J. Steigmann
Keyword(s):  
Three Dimensional ◽  
Thin Sheets ◽  
Two Dimensional ◽  
Leading Order ◽  
Membrane Theory ◽  
Dimensional Theory ◽  
Small Thickness

This chapter develops two-dimensional membrane theory as a leading order small-thickness approximation to the three-dimensional theory for thin sheets. Applications to axisymmetric equilibria are developed in detail, and applied to describe the phenomenon of bulge propagation in cylinders.

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