๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Asymptotic solution of three-dimensional elasticity problems of elongated plane tensile cracks

โœ Scribed by R. V. Goldstein; A. V. Kaptsov; L. B. Korelstein

Publisher
Springer Netherlands
Year
1986
Tongue
English
Weight
965 KB
Volume
31
Category
Article
ISSN
1573-2673

No coin nor oath required. For personal study only.

โœฆ Synopsis

Three-dimensional elasticity problems of plane tensile crack elongated along the plane curve are considered. The asymptotic solution of the problems is obtained by the method of outer and inner expansions applied directly to the two-dimensional integro-differential equation for the displacement of crack surface points. The formulae for crack opening and distribution of stress intensity factors are derived for various crack forms. Some estimates are found of the stress intensity factor in the small neighbourhoods of ends of the curve along which the crack extends and where the above mentioned asymptotic formulae don't hold. Comparison of obtained results with known analytical and numerical solutions demonstrates the high efficiency of our formulae. d x 2 oo

๐Ÿ“œ SIMILAR VOLUMES

Asymptotic Solutions and Estimations of
Asymptotic Solutions and Estimations of Some Three-dimensional Problems for Bodies Weakened by Plane Crack Systems
โœ B.V. Sobol ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier ๐ŸŒ English โš– 465 KB

A selection of the author's [1,3,4,8] and some other researchers' works deal with the formulation and investigation of a series of problems relating to elastic space, half-space and layer equilibrium, containing systems of plane cracks. A few cases where such cracks are perpendicular or parallel to

Asymptotic splitting in the three-dimens
Asymptotic splitting in the three-dimensional problem of linear elasticity for elongated bodies with a structure
โœ V.V. Yeliseyev; I.S. Orlov ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 448 KB

The equilibrium of linearly-elastic elongated bodies (rods) with an extremely arbitrary geometry and structure subjected to the effects of force and heat is considered. Owing to the presence of a small parameter--the relative thickness--this is a singularly perturbed problem. The asymptotic analysis