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Analysis of cracked functionally graded material plates using XIGA based on generalized higher-order shear deformation theory

机译：基于广义高阶剪切变形理论的XIGA裂纹功能梯度材料板分析

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摘要

A generalized higher-order shear deformation theory (GHSDT) along with extended isogeometric analysis (XIGA) is presented for the analysis of cracked functionally graded material (FGM) plates. The material properties of the FGM vary exponentially along the thickness of the plate. The GHSDT ensures a traction-free boundary conditions at the surfaces of the plate without a need of shear correction factor (SCF). To model a crack, the isogeometric analysis (IGA) approximation is enriched with partition of unity (PU) enrichment functions. The C-1 continuity requirement of the GHSDT is easily achieved in IGA through Non-uniform rational B-splines (NURBS). The stress intensity factor (SIF) at any location along the thickness of the plate is computed using domain based interaction integral approach. In the interaction integral, 2-D asymptotic crack-tip fields obtained from the LEFM provide a straightforward and simple solution scheme for SIF along the thickness of the FGM plate. The accuracy of the proposed approach is demonstrated by solving various problems. The effect of various parameters such as loading, boundary conditions, crack length and plate thickness is investigated on the SIF. The solutions of several cracked FGM plate problems obtained by GHSDT based XIGA (GHSDT-XIGA) are compared with FSDT based XIGA (FSDT-XIGA) and reference solutions.
机译：提出了广义的高阶剪切变形理论（GHSDT）以及扩展的等几何分析（XIGA），用于分析裂纹的功能梯度材料（FGM）板。 FGM的材料特性沿板的厚度呈指数变化。 GHSDT无需剪切校正系数（SCF），可确保板表面无牵引边界条件。为了对裂纹建模，等分几何分析（IGA）近似值由单元（PU）富集功能富集。通过不均匀有理B样条（NURBS），在IGA中可以轻松实现GHSDT的C-1连续性要求。使用基于域的相互作用积分方法计算沿板厚度的任何位置的应力强度因子（SIF）。在相互作用积分中，从LEFM获得的二维渐近裂纹尖端场沿着FGM板的厚度为SIF提供了简单明了的解决方案。通过解决各种问题证明了所提出方法的准确性。在SIF上研究了各种参数（例如载荷，边界条件，裂纹长度和板厚）的影响。比较了基于GHSDT的XIGA（GHSDT-XIGA）和基于FSDT的XIGA（FSDT-XIGA）获得的几个FGM板裂纹问题的解决方案和参考解决方案。

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  • 来源
    《Composite Structures》 |2019年第10期|111038.1-111038.24|共24页
  • 作者

    Singh S. K.; Singh I. V; Mishra B. K.; Bhardwaj G.;

  • 作者单位

    Indian Inst Technol Roorkee, Dept Mech & Ind Engn, Roorkee 247667, Uttarakhand, India;

    Indian Inst Technol Roorkee, Dept Mech & Ind Engn, Roorkee 247667, Uttarakhand, India;

    Indian Inst Technol Roorkee, Dept Mech & Ind Engn, Roorkee 247667, Uttarakhand, India;

    Thapar Univ Patiala, Dept Mech Engn, Patiala 147004, Punjab, India;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Cracked FGM plate; GHSDT; XIGA; NURBS; SIF;

    机译：破裂的FGM板;GHSDT;接下来;保育人;保姆;

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