Cnoidal and gausson phenomena in nonlinear elastodynamics

Acta Mechanica ◽

10.1007/s00707-018-2187-2 ◽

2018 ◽

Vol 229 (8) ◽

pp. 3489-3500 ◽

Author(s):

Colin Rogers ◽

Giuseppe Saccomandi ◽

Luigi Vergori

Keyword(s):

Nonlinear Elastodynamics

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Bäcklund Transformations and Superposition Principles in Nonlinear Elastodynamics

Studies in Applied Mathematics ◽

10.1111/j.1467-9590.2009.00465.x ◽

2010 ◽

Vol 124 (2) ◽

pp. 137-149 ◽

Author(s):

C. Rogers ◽

W. K. Schief

Keyword(s):

Bäcklund Transformations ◽

Nonlinear Elastodynamics ◽

Backlund Transformations ◽

Superposition Principles

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Nonlinear Elastodynamics

Stable Numerical Schemes for Fluids, Structures and their Interactions ◽

10.1016/b978-1-78548-273-1.50005-7 ◽

2017 ◽

pp. 133-145

Author(s):

Cornel Marius Murea

Keyword(s):

Nonlinear Elastodynamics

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High Frequency Dissipative Integration Schemes for Linear and Nonlinear Elastodynamics

Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics - CISM International Centre for Mechanical Sciences ◽

10.1007/978-3-319-31879-0_1 ◽

2016 ◽

pp. 1-30 ◽

Author(s):

Ignacio Romero

Keyword(s):

High Frequency ◽

Nonlinear Elastodynamics ◽

Integration Schemes ◽

Linear And Nonlinear

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An analysis of the stress formula for energy-momentum methods in nonlinear elastodynamics

Computational Mechanics ◽

10.1007/s00466-012-0693-y ◽

2012 ◽

Vol 50 (5) ◽

pp. 603-610 ◽

Author(s):

Ignacio Romero

Keyword(s):

Nonlinear Elastodynamics

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APPLICATION OF A BÄCKLUND TRANSFORMATION IN NONLINEAR ELASTODYNAMICS: TWO–PULSE INTERACTION

Waves and Stability in Continuous Media ◽

10.1142/9789814317429_0036 ◽

2010 ◽

Author(s):

C. ROGERS ◽

W. K. SCHIEF ◽

A. MENTRELLI ◽

T. RUGGERI

Keyword(s):

Bäcklund Transformation ◽

Backlund Transformation ◽

Nonlinear Elastodynamics ◽

Pulse Interaction

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Analytical solution to 1D nonlinear elastodynamics with general constitutive laws

Wave Motion ◽

10.1016/j.wavemoti.2017.06.006 ◽

2017 ◽

Vol 74 ◽

pp. 35-55 ◽

Author(s):

Harold Berjamin ◽

Bruno Lombard ◽

Guillaume Chiavassa ◽

Nicolas Favrie

Keyword(s):

Analytical Solution ◽

Constitutive Laws ◽

Nonlinear Elastodynamics

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Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00251584 ◽

1977 ◽

Vol 63 (3) ◽

pp. 273-294 ◽

Author(s):

Thomas J. R. Hughes ◽

Tosio Kato ◽

Jerrold E. Marsden

Keyword(s):

General Relativity ◽

Hyperbolic Systems ◽

Second Order ◽

Nonlinear Elastodynamics ◽

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Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions

Wave Motion ◽

10.1016/j.wavemoti.2015.02.009 ◽

2015 ◽

Vol 56 ◽

pp. 147-164 ◽

Author(s):

C. Rogers ◽

G. Saccomandi ◽

L. Vergori

Keyword(s):

Strong Ellipticity ◽

Ellipticity Condition ◽

Nonlinear Elastodynamics ◽

Strong Ellipticity Condition

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On certain evolution properties of the solution in nonlinear elastodynamics

Meccanica ◽

10.1007/bf02149025 ◽

1975 ◽

Vol 10 (3) ◽

pp. 143-150

Author(s):

Federico Andreussi

Keyword(s):

Nonlinear Elastodynamics

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A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: Existence via time discretization

Nonlinearity ◽

10.1088/0951-7715/24/9/008 ◽

2011 ◽

Vol 24 (9) ◽

pp. 2523-2546 ◽

Author(s):

Etienne Emmrich ◽

Mechthild Thalhammer

Keyword(s):

Differential Equations ◽

Time Discretization ◽

Nonlinear Elastodynamics

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