4.5 Article

Study on effective electroelastic properties of one-dimensional hexagonal piezoelectric quasicrystal containing randomly oriented inclusions

Related references

Note: Only part of the references are listed.
Article Materials Science, Multidisciplinary

Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders

B. Zhang et al.

Summary: This study investigates the phonon-phason coupling and piezoelectric effects on wave characteristics in one-dimensional hexagonal functionally graded piezoelectric quasi-crystal cylinders. The results reveal new wave phenomena and lay the theoretical foundation for the design and manufacture of piezoelectric transducers with high resolution and energy-conversion efficiency.

MATHEMATICS AND MECHANICS OF SOLIDS (2022)

Article Engineering, Multidisciplinary

Fundamental solutions for penny-shaped and half-plane cracks in one-dimensional hexagonal quasicrystals: Shear mode

Ruifeng Zheng et al.

Summary: This article investigates the penny-shaped and half-plane crack problems in an infinite space of one-dimensional hexagonal quasicrystals. The complete fundamental solutions of the phonon and phason fields are obtained, and important quantities on the crack plane are derived. These fundamental solutions are significant for boundary element analysis and numerical research.

APPLIED MATHEMATICAL MODELLING (2022)

Article Engineering, Multidisciplinary

Multi-field coupling solutions of functionally graded two-dimensional piezoelectric quasicrystal wedges and spaces

Xiang Mu et al.

Summary: This paper investigates the mechanical behaviors of functionally graded two-dimensional piezoelectric quasicrystal materials subjected to different loads. The equilibrium and constitutive equations are used to directly derive the expressions of stresses and displacements, and numerical methods are employed to verify and analyze the results.

APPLIED MATHEMATICAL MODELLING (2022)

Article Mathematics, Applied

Effective elastic properties of one-dimensional hexagonal quasicrystal composites

Shuang Li et al.

Summary: This study presents the explicit expression of Eshelby tensors for one-dimensional hexagonal quasicrystal composites using Green's function method, providing closed forms for various inclusion shapes in the matrices. Utilizing these tensors, analytical expressions for the effective properties of the composites are derived based on the Mori-Tanaka method, with discussions on the effects of inclusion volume fraction on composite materials' elastic properties.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION (2021)

Article Mechanics

Analysis of interface cracks in one-dimensional hexagonal quasi-crystal coating under in-plane loads

MingHao Zhao et al.

Summary: The displacement discontinuity method is proposed to analyze interface cracks in one-dimensional hexagonal quasi-crystal coatings under in-plane loads. Fundamental solutions and hyper-singular boundary integral-differential equations for unit-point and uniformly distributed DDs are derived. Stress intensity factors and energy release rate are presented without oscillatory singularity. The DD boundary element method is proposed for numerical simulation and the influence of various factors on fracture behavior is comprehensively studied.

ENGINEERING FRACTURE MECHANICS (2021)

Article Mathematics, Applied

Circular inclusion problem of two-dimensional decagonal quasicrystals with interfacial rigid lines under concentrated force

Ting Zhai et al.

Summary: The study investigates the plane problem of two-dimensional decagonal quasicrystals with a rigid circular arc inclusion under infinite tension and concentrated force. The problem is transformed into a Riemann boundary problem using complex representations of stresses and displacements. General solutions and closed solutions of complex potential functions are derived, showing singularity of stress field at the tip of rigid line inclusions under plane load.

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2021)

Article Mechanics

A spheroidal inclusion within a 1D hexagonal piezoelectric quasicrystal

Zhiguo Zhang et al.

ARCHIVE OF APPLIED MECHANICS (2020)

Article Engineering, Multidisciplinary

Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating

HuaYang Dang et al.

APPLIED MATHEMATICAL MODELLING (2020)

Article Materials Science, Multidisciplinary

Plane Analysis for an Inclusion in 1D Hexagonal Quasicrystal Using the Hypersingular Integral Equation Method

Fei Lou et al.

ACTA MECHANICA SOLIDA SINICA (2019)

Article Engineering, Multidisciplinary

A Yoffe-type moving crack in one-dimensional hexagonal piezoelectric quasicrystals

Y. -B. Zhou et al.

APPLIED MATHEMATICAL MODELLING (2019)

Article Mathematics, Applied

Effective electroelastic constants for three-phase confocal elliptical cylinder model in piezoelectric quasicrystal composites

Yongbin Wang et al.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION (2018)

Article Materials Science, Multidisciplinary

Electroelastic Green's function of one-dimensional piezoelectric quasicrystals subjected to multi-physics loads

Di Wu et al.

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES (2017)

Article Mechanics

Analysis of cracks in one-dimensional hexagonal quasicrystals with the heat effect

CuiYing Fan et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2017)

Article Materials Science, Multidisciplinary

DECAGONAL QUASICRYSTALLINE ELLIPTICAL INCLUSIONS UNDER THERMOMECHANICAL LOADING

Xu Wang et al.

ACTA MECHANICA SOLIDA SINICA (2014)

Article Physics, Multidisciplinary

Electric-Elastic Field Induced by a Straight Dislocation in One-Dimensional Quasicrystals

L. -Z. Yang et al.

ACTA PHYSICA POLONICA A (2014)

Article Mathematics, Applied

Extension of certain key results from classical elasticity to decagonal quasicrystalline composites

Xu Wang et al.

IMA JOURNAL OF APPLIED MATHEMATICS (2013)

Article Mathematics, Applied

N-Phase decagonal quasicrystalline circular inclusions under thermomechanical loadings

Xu Wang et al.

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2013)

Article Mechanics

Nonlinear dynamic analysis of composite laminated plates containing spatially oriented short fibers

KK Shukla et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2004)

Article Nanoscience & Nanotechnology

Some closed-form solutions for effective moduli of composites containing randomly oriented short fibers

JH Huang

MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING (2001)

Review Physics, Multidisciplinary

Symmetry groups, physical property tensors, elasticity and dislocations in quasicrystals

CZ Hu et al.

REPORTS ON PROGRESS IN PHYSICS (2000)