๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A three-dimensional inverse problemfor a physically non-linear inhomogeneous medium

โœ Scribed by I.Yu. Tsvelodub

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
381 KB
Volume
69
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

โœฆ Synopsis

A three-dimensional linearly elastic (viscoelastic) domain (finite or infinite) containing a physically non-linear inclusion of arbitrary shape is considered. The possibility of creating a prescribed uniform stress-strain state in the inclusion by a suitable choice of loads on the outer boundary of the domain is considered. A solution is constructed in closed form. Some examples are considered, including, in particular, the case of an ellipsoidal inclusion with the property of non-linear creep.

๐Ÿ“œ SIMILAR VOLUMES

Some inverse problems for a viscoelastic
Some inverse problems for a viscoelastic medium with a physically non-linear inclusion
โœ I.Yu. Tsvelodub ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 722 KB

A plane finite viscoelastic domain with a physically non-linear inclusion of arbitrary form is considered. The problem of finding those loads which, acting on the outer boundary of the domain, are such that they produce a specified uniform stress-strain state in the inclusion, is solved. Examples, i

An inverse problem for an elastic medium
An inverse problem for an elastic medium containing a physically non-linear inclusion
โœ I.Yu. Tsvelodub ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 403 KB

A plane finite elastic domain containing a physically non-linear inclusion is considered. The problem of determining the loads acting on the outer botmdary of the domain that produce a given uniform stress-strain state in the inclusion is formulated and solved.

The fracture of a physically non-linear
The fracture of a physically non-linear inhomogeneous medium under stress-relaxation conditions in inclusions
โœ I.Yu. Tsvelodub ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 553 KB

An isotropic elastic plane is considered which contains different elliptic inclusions remote from one another and which exhibit the properties of non-linear creep. The corresponding constitutive equations contain a damage parameter which varies from zero (in the undeformed state) to unity (at the in

A three-dimensional inverse problem for
A three-dimensional inverse problem for inhomogeneities in elastic solids
โœ Bahir H. Eldiwany; Lewis T. Wheeler ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 430 KB

The Newtonian potential is used to solve an inverse problem in which we seek the shape of an inhomogeneity in an infinite elastic matrix under uniform applied stresses at infinity such that certain stress components are uniform on the boundary of the inhomogeneity. It is shown that ellipsoids furnis