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Journal ArticleDOI

Extended isogeometric dynamic and static fracture analysis for cracks in piezoelectric materials using NURBS

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TLDR
In this article, an extension of the extended isogeometric analysis (XIGA) for simulation of two-dimensional fracture mechanics problems in piezoelectric materials under dynamic and static coupled electromechanical loads is presented.
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This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2015-10-01. It has received 155 citations till now. The article focuses on the topics: Isogeometric analysis & Fracture mechanics.

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Citations
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Journal ArticleDOI

Piezoelectric properties in two-dimensional materials: Simulations and experiments

TL;DR: In this paper, the authors review the state of the art on 2D piezoelectricity, with reference to both computational predictions and experimental characterization, and they believe that 2D materials will substantially expand the applications of PAs.
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On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory

TL;DR: In this paper, a displacement-based finite element formulation associated with a novel third-order shear deformation plate theory was developed, taking the desirable properties and advantages of the TSDT theory as its kinematics of displacements are derived from elasticity theory rather than the hypothesis of displacement.
Journal ArticleDOI

Structural health monitoring using modal strain energy damage indicator coupled with teaching-learning-based optimization algorithm and isogoemetric analysis

TL;DR: Results clearly indicate that the proposed approach can be used to determine accurately and efficiently both damage location and severity in beam-like structures.
Journal ArticleDOI

NURBS-based isogeometric analysis of buckling and free vibration problems for laminated composites plates with complicated cutouts using a new simple FSDT theory and level set method

TL;DR: In this article, the authors combine the isogeometric analysis, the level set and a simple first-order shear deformation theory (S-FSDT) to form a new effective and accurate approach for simulating free vibration and buckling problems of laminated composite plates with cutouts.
Journal ArticleDOI

On the thermal buckling analysis of functionally graded plates with internal defects using extended isogeometric analysis

TL;DR: In this article, the authors investigated the thermal buckling for functionally graded plates (FGPs) with internal defects (e.g., crack or cutout) using an effective numerical method, which employed the first-order shear deformation plate theory associated with extended isogeometric analysis and level sets.
References
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Journal ArticleDOI

Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement

TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
Book

The NURBS Book

TL;DR: This chapter discusses the construction of B-spline Curves and Surfaces using Bezier Curves, as well as five Fundamental Geometric Algorithms, and their application to Curve Interpolation.
Journal ArticleDOI

The extended/generalized finite element method: An overview of the method and its applications

TL;DR: An overview of the extended/generalized finite element method (GEFM/XFEM) with emphasis on methodological issues is presented in this article, which enables accurate approximation of solutions that involve jumps, kinks, singularities, and other locally non-smooth features within elements.
Journal ArticleDOI

Fracture mechanics for piezoelectric ceramics

TL;DR: In this paper, the authors study cracks either in piezoelectrics, or on interfaces between the materials such as metal electrodes or polymer matrices, and derive the macroscopic field regarding the crack tip as a physically structureless point.
Journal ArticleDOI

Crack Extension Force in a Piezoelectric Material

TL;DR: In this article, a closed-form solution to the antiplane fracture problem is obtained for an unbounded piezoelectric medium, along with a path-independent integral integral of fracture mechanics.
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