Elastic wave propagation in non-uniform rational B-spline rods under mechanical impact loading using an isogeometrical approach

Yavari, Ahmad; Abolbashari, Mohammad Hossein

doi:10.1177/0954406218774368

Cited by 3 publications

(2 citation statements)

References 23 publications

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“…The values of these parameters should be selected such that the method becomes stable and accurate. 40 Accordingly, they are taken as c 1 ¼ 1:5, c 2 ¼ 0:8 and c 3 ¼ 1:6. 45 The stability requirement of this method may be expressed as:…”

Section: Fully Discretized Isogeometric Equationmentioning

confidence: 99%

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Elastic wave propagation in 2D-FGM hollow cylinders with curved outer surface under moving shock loading using isogeometric analysis

Yavari

Abolbashari

Hassani

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Analysis of elastic wave propagation in a hollow cylinder with two-dimensional (2D) functionally graded material (FGM) and the curved outer surface under internal moving shock loading is the subject of this study. In the proposed method, there is no restriction on the distribution of material properties, the shape of the outer surface, and the applied shock loading. They are treated with non-uniform rational B-spline (NURBS). The isogeometric approach is developed for solving the problem to ensure precise modeling of the geometry. Also, the Newmark approach is used for full discretization of the isogeometric equations. The distributions of all elastic field quantities are determined for two types of material distributions and shock loadings. The effects of shock loadings, the shape of the outer surface, and the material distribution on the elastic wave are thoroughly examined. Propagation, reflections, and propagation speed inside the hollow cylinder are investigated. It is found that the propagation speeds of elastic waves have a distribution associated with the distribution of the material properties. Also, the shape of the outer surface can affect the amplitude of the elastic wave and the locations of concentration stress. It is concluded that the sonic boom phenomenon occurs in the solids as well as in the air.

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Section: Fully Discretized Isogeometric Equationmentioning

confidence: 99%

“…This method was introduced by Hughes et al 39 The IGA is taken into account by many researchers. For example, Yavari and Abolbashari 40 used this method to study the one-dimensional elastic wave propagation in NURBS rods under quadratic impact loading. Zhu et al 41 analyzed trimmed CAD geometries by utilizing this method.…”

Section: Introductionmentioning

confidence: 99%