✦ LIBER ✦

New anisotropic models from isotropic solutions

✍ Scribed by S. D. Maharaj; M. Chaisi

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 151 KB
Volume: 29
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.665

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We establish an algorithm that produces a new solution to the Einstein field equations, with an anisotropic matter distribution, from a given seed isotropic solution. The new solution is expressed in terms of integrals of known functions, and the integration can be completed in principle. The applicability of this technique is demonstrated by generating anisotropic isothermal spheres and anisotropic constant density Schwarzschild spheres. Both of these solutions are expressed in closed form in terms of elementary functions, and this facilitates physical analysis. Copyright © 2005 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Anisotropic effects of quasi-isotropic c

Anisotropic effects of quasi-isotropic composites (I) — Modelling

✍ Zheng Quanshui; Fang Huiyu 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 594 KB

Esperimental obsersations show that quasi-isotropic materials, such as N-axial fibre-reinforced composites and woven materials, exhibit I-arious degrees of anisotropy in elasticity and strength, and the anisotropy in strength is normally stronger than that in 'elasticity. In view of some available e

Isotropic and anisotropic scattering fro

Isotropic and anisotropic scattering from polyethylene during crystallization

✍ H. Suzuki; Y. Muraoka; K. Kajiwara 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 506 KB

A light-scattering method for determining the optical anisotropy of large molecules is considered in detail. An application of the method is demonstrated to linear polyethylene while isothermally crystallizing in p-xylene solution. The polyethylene crystals formed are characterized as anisotropic th

A new anisotropic failure criterion for

A new anisotropic failure criterion for transversely isotropic solids

✍ O. Cazacu; N. D. Cristescu; J. F. Shao; J. P. Henry 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 229 KB 👁 2 views

A coordinate-free formulation of a failure criterion for transversely isotropic solids is proposed. In the threedimensional stress space the criterion is represented by an elliptic paraboloid. The anisotropic form of the proposed criterion is based on generalization of the second invariant of the de

Transformation of heat conduction proble

Transformation of heat conduction problems from anisotropic to isotropic

✍ K.C. Poon; Y.P. Chang 📂 Article 📅 1978 🏛 Elsevier Science ⚖ 217 KB

3D anisotropic elasticity with BEM using

3D anisotropic elasticity with BEM using the isotropic fundamental solution

✍ N.A. Schclar; P.W. Partridge 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 563 KB

A unified multiaxial fatigue damage mode

A unified multiaxial fatigue damage model for isotropic and anisotropic materials

✍ Yongming Liu; Sankaran Mahadevan 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 362 KB

A unified multiaxial fatigue damage model based on a characteristic plane approach is proposed in this paper, integrating both isotropic and anisotropic materials into one framework. Compared with most available critical plane-based models for multiaxial fatigue problem, the physical basis of the ch