Optimized Staggered-grid FD Method for Elastic Wave Modeling Based on Elastic Plane Wave Solution

This chapter discusses the polarization of light, including the transverse nature of the plane-wave solution; the linear and circular bases are introduced, and the propagation of polarized light in media is analysed.

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Linear peridynamics for triclinic materials

Mathematics and Mechanics of Solids ◽

10.1177/1081286520969880 ◽

2020 ◽

pp. 108128652096988

Author(s):

Yozo Mikata

Keyword(s):

Constitutive Equation ◽

Plane Wave ◽

Governing Equation ◽

Wave Solution ◽

Anisotropic Materials ◽

Dispersion Curves ◽

Plane Wave Solution ◽

Peridynamic Theory

The governing equation of linear peridynamics is developed for the most general anisotropic materials (triclinic materials). As a departure from the standard peridynamic theory, the linear constitutive equation in the form of a micromodulus is determined by directly requiring the resulting peridynamic equation to converge to a comparable classical elastodynamic equation for a triclinic material as the generalized material horizon approaches zero. As a result, a new peridynamic governing equation is obtained for triclinic peridynamic materials. As an application of the newly obtained peridynamic equation, a plane wave solution is analytically obtained and discussed, and dispersion curves are plotted for triclinic peridynamic materials.

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Plane-wave solution of systems of einstein-weyl equations

Russian Physics Journal ◽

10.1007/bf02067675 ◽

1996 ◽

Vol 39 (2) ◽

pp. 121-124

Author(s):

V. G. Bagrov ◽

V. V. Obukhov ◽

A. G. Sakhapov

Keyword(s):

Plane Wave ◽

Wave Solution ◽

Plane Wave Solution

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An optimal implicit staggered-grid finite-difference method based on sampling approximation for elastic wave modeling

10.1190/segam2015-5813150.1 ◽

2015 ◽

Author(s):

Lei Yang* ◽

Hongyong Yan ◽

Hong Liu

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Elastic Wave ◽

Difference Method ◽

Staggered Grid ◽

Wave Modeling

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Exact plane-wave solution of equations of gravitation theory with massive graviton

Izvestiya vysshikh uchebnykh zavedenii. Fizika ◽

10.17223/00213411/64/1/10 ◽

2021 ◽

Vol 64 (1) ◽

pp. 10-15

Author(s):

A.A. Baiderin ◽

◽

I.P. Denisova ◽

V.S. Rostovsky ◽

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...

Keyword(s):

Exact Solution ◽

Gravitational Field ◽

Plane Wave ◽

Wave Solution ◽

Jacobi Method ◽

Scalar Wave ◽

Massive Graviton ◽

Plane Wave Solution ◽

Solution Of Equations ◽

Theory Of Gravitation

The theory of gravitation with a massive graviton, which was proposed by Visser, is considered. The exact solution of this theory is found when the source of the gravitational field is plane scalar wave. The Hamilton-Jacobi method obtained the laws of motion of massive and massless particles in this gravitational field.

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