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INFINITESIMAL AND FINITE DEFORMATIONS IN THE POLAR COORDINATE SYSTEM

Ludmila Frishter

The deformation problem of elasticity theory with regard to nonlinear deformations is examined. The expressions of deformations through displacements in the orthogonal curvilinear coordinate system are recorded. The relations for finite deformations in cylindrical and polar coordinate systems are derived. Physical relations for finite deformations and corresponding generalized stresses are recorded.

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INFINITESIMAL AND FINITE DEFORMATIONS IN THE POLAR COORDINATE SYSTEM

Ludmila Frishter

The deformation problem of elasticity theory with regard to nonlinear deformations is examined. The expressions of deformations through displacements in the orthogonal curvilinear coordinate system are recorded. The relations for finite deformations in cylindrical and polar coordinate systems are derived. Physical relations for finite deformations and corresponding generalized stresses are recorded.

INFINITESIMAL AND FINITE DEFORMATIONS IN THE POLAR COORDINATE SYSTEM

Ludmila Frishter

The deformation problem of elasticity theory with regard to nonlinear deformations is examined. The expressions of deformations through displacements in the orthogonal curvilinear coordinate system are recorded. The relations for finite deformations in cylindrical and polar coordinate systems are derived. Physical relations for finite deformations and corresponding generalized stresses are recorded.

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Document information

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Title:

INFINITESIMAL AND FINITE DEFORMATIONS IN THE POLAR COORDINATE SYSTEM

Contributors:

Ludmila Frishter (author)

Published in:

International Journal for Computational Civil and Structural Engineering, Vol 19, Iss 1 (2023)

Publication date:

2023

ISSN:

2587-9618 , 2588-0195

DOI:

https://doi.org/10.22337/2587-9618-2023-19-1-204-211

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

Unknown

Keywords:

small deformations, finite deformations, nonlinear continuum mechanics problem, curvilinear orthogonal coordinate system, cylindrical coordinate system, polar coordinate system, plane deformation, generalized stresses , Materials of engineering and construction. Mechanics of materials , TA401-492

Metadata by DOAJ is licensed under CC BY-SA 1.0

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