Linearity of waves in some systems of non-linear elastodynamics

Hin Chi Lei; Ming Jui Hung

doi:10.1016/s0020-7462(96)00064-9

Linearity of waves in some systems of non-linear elastodynamics

Hin Chi Lei, Ming Jui Hung

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Four systems of one-dimensional waves reduced from the plane-strain equations of motion of the neo-Hookean material are studied. It is found that these systems can be decoupled into linear equations. Analytical solutions of these systems are obtained using the method of characteristics and the method of eigenfunction expansions.

Original language	English
Pages (from-to)	353-360
Number of pages	8
Journal	International Journal of Non-Linear Mechanics
Volume	32
Issue number	2
DOIs	https://doi.org/10.1016/s0020-7462(96)00064-9
State	Published - Mar 1997

Keywords

Exact solutions
Non-linear elastodynamics

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10.1016/s0020-7462(96)00064-9

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title = "Linearity of waves in some systems of non-linear elastodynamics",

abstract = "Four systems of one-dimensional waves reduced from the plane-strain equations of motion of the neo-Hookean material are studied. It is found that these systems can be decoupled into linear equations. Analytical solutions of these systems are obtained using the method of characteristics and the method of eigenfunction expansions.",

keywords = "Exact solutions, Non-linear elastodynamics",

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AU - Lei, Hin Chi

AU - Hung, Ming Jui

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AB - Four systems of one-dimensional waves reduced from the plane-strain equations of motion of the neo-Hookean material are studied. It is found that these systems can be decoupled into linear equations. Analytical solutions of these systems are obtained using the method of characteristics and the method of eigenfunction expansions.

KW - Exact solutions

KW - Non-linear elastodynamics

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U2 - 10.1016/s0020-7462(96)00064-9

DO - 10.1016/s0020-7462(96)00064-9

M3 - 期刊論文

AN - SCOPUS:0031104529

VL - 32

SP - 353

EP - 360

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

IS - 2

ER -

Linearity of waves in some systems of non-linear elastodynamics

Abstract

Keywords

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