Two-dimensional Transient Dynamic Analysis of Decagonal Quasicrystals subjected to Shock Loading using Meshless Generalized Finite Difference (GFD) Method

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HOSSEINI S.M.

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Journal Paper

Paper Information

Journal: Journal of Applied and Computational Sciences in Mechanics Year:2019 | Volume:30 | Issue:1 (19) Page(s): 97-118

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Title

Two-dimensional Transient Dynamic Analysis of Decagonal Quasicrystals subjected to Shock Loading using Meshless Generalized Finite Difference (GFD) Method

Author(s)

HOSSEINI S.M. | Issue Writer Certificate

Keywords

Transient dynamic analysisQ1

Meshless methodQ1

Generalized finite difference (GFD) methodQ1

QuasicrystalsQ1

Phonon displacementQ1

Phason displacementQ1

Abstract

In this article, the Transient dynamic analysis of decagonal quasicrystal (QC) is carried out using the meshless generalized finite difference (GFD) method. The transient behaviors of phonon and Phason displacements in these types of QCs, when they are subjected to mechanical shock loading are studied. Also, the meshless GFD method is developed to solve the dynamic problems of QCs, considering coupling between phonon and Phason displacements. The governing equations of the problem are obtained in the coupled system of PDEs by applying the coupling coefficient in the governing equations to simulate the interaction between phonon and Phason displacements. A 2D rectangular domain made from decagonal (Al-Ni-Co) QCs is assumed for the problem to show the transient behaviors of phonon and Phason displacements, when one side of 2D domain is excited by Phonon displacement shock loading. Based on the coupling between phonon and Phason displacements, any disturbance in phonon field causes some variations in phason field. To study the dynamic behaviors of phonon and phason fields, the coupled governing equations are transferred to Laplace domain. After analysis the problem by GFD method, the obtained results in Laplace domain are transferred to time domain using the Laplace inversion technique. The interactions between phonon and phason fields are studied in details. Also, the effects of coupling parameter and the phason friction coefficient on the dynamic and transient behaviors of phonon and Phason displacement fields are obtained and discussed in details.

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APA: Copy

HOSSEINI, S.M.. (2019). Two-dimensional Transient Dynamic Analysis of Decagonal Quasicrystals subjected to Shock Loading using Meshless Generalized Finite Difference (GFD) Method. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), 30(1 (19) ), 97-118. SID. https://sid.ir/paper/196287/en

Vancouver: Copy

HOSSEINI S.M.. Two-dimensional Transient Dynamic Analysis of Decagonal Quasicrystals subjected to Shock Loading using Meshless Generalized Finite Difference (GFD) Method. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING)[Internet]. 2019;30(1 (19) ):97-118. Available from: https://sid.ir/paper/196287/en

IEEE: Copy

S.M. HOSSEINI, “Two-dimensional Transient Dynamic Analysis of Decagonal Quasicrystals subjected to Shock Loading using Meshless Generalized Finite Difference (GFD) Method,” JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), vol. 30, no. 1 (19) , pp. 97–118, 2019, [Online]. Available: https://sid.ir/paper/196287/en

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