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Modeling Elastic Wave Propagation in Fiber-Reinforced Media Using Lagrange Spectral Element Method
In the present study, spectral element method is applied for the simulation of two-dimensional wave propagation in linear elastic fiber-reinforced homogeneous medium. The computational domain is divided in a mesh of square elements. Higher-order Lagrangian interpolation polynomials are used as basis function. The numerical integration is achieved through Gauss–Lobatto–Legendre quadrature rule. The Gauss–Lobatto–Legendre points are also used for the non-uniform distribution of nodes inside an element. The mass matrix so obtained is diagonal in nature. Time discretization is performed through Runge–Kutta method. Wave propagation in a specimen composed of unidirectionally aligned fibers is studied, and simulation results are presented. Snapshots of distribution of displacement components inside the domain at different times are exhibited. The variation of displacements and stresses with time, at a point on the domain, is demonstrated graphically.
Modeling Elastic Wave Propagation in Fiber-Reinforced Media Using Lagrange Spectral Element Method
In the present study, spectral element method is applied for the simulation of two-dimensional wave propagation in linear elastic fiber-reinforced homogeneous medium. The computational domain is divided in a mesh of square elements. Higher-order Lagrangian interpolation polynomials are used as basis function. The numerical integration is achieved through Gauss–Lobatto–Legendre quadrature rule. The Gauss–Lobatto–Legendre points are also used for the non-uniform distribution of nodes inside an element. The mass matrix so obtained is diagonal in nature. Time discretization is performed through Runge–Kutta method. Wave propagation in a specimen composed of unidirectionally aligned fibers is studied, and simulation results are presented. Snapshots of distribution of displacement components inside the domain at different times are exhibited. The variation of displacements and stresses with time, at a point on the domain, is demonstrated graphically.
Modeling Elastic Wave Propagation in Fiber-Reinforced Media Using Lagrange Spectral Element Method
J. Inst. Eng. India Ser. C
Saini, Poonam (author)
Journal of The Institution of Engineers (India): Series C ; 104 ; 805-813
2023-08-01
9 pages
Article (Journal)
Electronic Resource
English
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