The Quasilinear Wave Equation for Antiplane Shearing of Nonlinearly Elastic Bodies

Journal of Computational Physics ◽

10.1006/jcph.2001.6783 ◽

2001 ◽

Vol 171 (1) ◽

pp. 201-226 ◽

Author(s):

Dawn A. Lott ◽

Stuart S. Antman ◽

William G. Szymczak

Keyword(s):

Wave Equation ◽

Quasilinear Wave Equation ◽

Elastic Bodies ◽

Nonlinearly Elastic

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The impact-contact problem of two nonlinearly elastic bodies

Acta Mechanica ◽

10.1007/bf01175941 ◽

1979 ◽

Vol 33 (1-2) ◽

pp. 81-95 ◽

Author(s):

J. Aboudi

Keyword(s):

Contact Problem ◽

Elastic Bodies ◽

Nonlinearly Elastic

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Degenerate similarity solutions in dynamic problems on the calculation of strains in nonlinearly elastic bodies

Journal of Applied Mechanics and Technical Physics ◽

10.1007/bf00909708 ◽

1988 ◽

Vol 29 (1) ◽

pp. 142-145 ◽

Author(s):

V. P. Yastrebov

Keyword(s):

Similarity Solutions ◽

Dynamic Problems ◽

Elastic Bodies ◽

Nonlinearly Elastic

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Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions

Boundary Value Problems ◽

10.1186/s13661-017-0773-1 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Jin-Mun Jeong ◽

Jong-Yeoul Park ◽

Yong Han Kang

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Quasilinear Wave Equation ◽

Acoustic Boundary Conditions ◽

Global Nonexistence ◽

Nonexistence Of Solutions

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Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions

Advances in Difference Equations ◽

10.1155/s1687183904401071 ◽

2004 ◽

Vol 2004 (3) ◽

pp. 932415 ◽

Author(s):

Abdelfatah Bouziani ◽

Nabil Merazga

Keyword(s):

Wave Equation ◽

Time Discretization ◽

Discretization Method ◽

Integral Conditions ◽

Quasilinear Wave Equation

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Global smooth solutions for the quasilinear wave equation with boundary dissipation

Journal of Differential Equations ◽

10.1016/j.jde.2007.06.014 ◽

2007 ◽

Vol 241 (1) ◽

pp. 62-93 ◽

Author(s):

Peng-Fei Yao

Keyword(s):

Wave Equation ◽

Smooth Solutions ◽

Quasilinear Wave Equation ◽

Global Smooth Solutions ◽

Boundary Dissipation

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On the decay of solutions of a damped quasilinear wave equation with variable‐exponent nonlinearities

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6254 ◽

2020 ◽

Vol 43 (8) ◽

pp. 5114-5126 ◽

Author(s):

Salim A. Messaoudi

Keyword(s):

Wave Equation ◽

Variable Exponent ◽

Quasilinear Wave Equation ◽

Decay Of Solutions

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A Local Well-Posedness Result for the Quasilinear Wave Equation in ℝ2+1

Communications in Partial Differential Equations ◽

10.1081/pde-120030400 ◽

2005 ◽

Vol 29 (3-4) ◽

pp. 323-360

Author(s):

Dan-Andrei Geba

Keyword(s):

Wave Equation ◽

Well Posedness ◽

Quasilinear Wave Equation

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Blowup of Small Data Solutions for a Quasilinear Wave Equation in Two Space Dimensions

Annals of Mathematics ◽

10.2307/121020 ◽

1999 ◽

Vol 149 (1) ◽

pp. 97 ◽

Author(s):

Serge Alinhac

Keyword(s):

Wave Equation ◽

Quasilinear Wave Equation ◽

Two Space Dimensions

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Numerical methods of solving contact problem for finite linearly and nonlinearly elastic bodies

Soviet Applied Mechanics ◽

10.1007/bf00883892 ◽

1980 ◽

Vol 16 (6) ◽

pp. 462-467 ◽

Author(s):

A. S. Kravchuk ◽

V. A. Vasil'ev

Keyword(s):

Numerical Methods ◽

Contact Problem ◽

Elastic Bodies ◽

Nonlinearly Elastic

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The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies

Journal of Elasticity ◽

10.1007/bf00127554 ◽

1987 ◽

Vol 18 (2) ◽

pp. 131-164 ◽

Author(s):

Stuart S. Antman ◽

Pablo V. Negr�n-Marrero

Keyword(s):

Equilibrium States ◽

Symmetric Equilibrium ◽

Elastic Bodies ◽

Nonlinearly Elastic

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