In this paper a general and rather simple approach is proposed in order to study elastostatic plane problems for an orthotropic medium whose stiffness matrix has repeated eigenvalues. This method, which is based on the decomposition theorem of linear algebra, allows to obtain a complex variable formulation of fundamental equations of plane elasticity for a degenerate orthotropic medium. After that the equations so obtained are applied to study the problem of a Griffith crack embedded in the orthotropic medium subjected to a uniform biaxial load at infinity.

VIOLA E., PIVA A., RICCI P. (2004). The in-plane problem of a Griffith crack in a biaxially loaded degenerate orthotropic medium. FAR EAST JOURNAL OF APPLIED MATHEMATICS, 14(1), 25-55.

The in-plane problem of a Griffith crack in a biaxially loaded degenerate orthotropic medium

VIOLA, ERASMO;PIVA, ALDINO;RICCI, PATRIZIA
2004

Abstract

In this paper a general and rather simple approach is proposed in order to study elastostatic plane problems for an orthotropic medium whose stiffness matrix has repeated eigenvalues. This method, which is based on the decomposition theorem of linear algebra, allows to obtain a complex variable formulation of fundamental equations of plane elasticity for a degenerate orthotropic medium. After that the equations so obtained are applied to study the problem of a Griffith crack embedded in the orthotropic medium subjected to a uniform biaxial load at infinity.
2004
VIOLA E., PIVA A., RICCI P. (2004). The in-plane problem of a Griffith crack in a biaxially loaded degenerate orthotropic medium. FAR EAST JOURNAL OF APPLIED MATHEMATICS, 14(1), 25-55.
VIOLA E.; PIVA A.; RICCI P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/2756
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