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首页> 外文期刊>Journal of the Mechanics and Physics of Solids >A generalized Maugis-Dugdale solution for adhesion of power-law graded elastic materials
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A generalized Maugis-Dugdale solution for adhesion of power-law graded elastic materials

机译：一种通用的Maugis-Dugdale解决方案，用于粘附的动力法分级弹性材料

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摘要

The present paper provides a generalized Maugis-Dugdale analytical model of adhesive contact between an axisymmetric rigid punch of arbitrary shape and a graded elastic half-space with Young's modulus varying with depth according to a power-law. Based on the principle of su-perposition and an equivalent indentation method to solve an axisymmetric external crack problem, a series of closed-form solutions are derived for power-law punch profiles which reduce to the existing solutions for homogeneous isotropic materials and for paraboloidal geometries as special cases. A complete transition between the JKR and DMT type models is captured through a generalized Tabor parameter. Finite element analysis is performed to validate the obtained analytical solutions and examine the effect of interaction potential form on the pull-off force. Further important findings from this study include: (1) The pull-off force for non-paraboloidal punch profiles is found to be largely dependent on the form of the interaction potential, which is distinct from the familiar paraboloid case; (2) For the so-called Gibson solid, the independence of the pull-off force on the Tabor parameter is valid only for the paraboloidal punch profiles; (3) A three-dimensional adhesion map has been constructed to aid the appropriate choice of different contact models involving power-law graded elastic materials.
机译：本文提供了轴对称刚性冲床的粘合接触的广义maugis-dugdale分析模型，以及根据电力法根据深度变化的较小模量的分级弹性半空间之间的粘合接触之间的粘合接触。基于Su-perposition的原理和解决轴对称外裂纹问题的等效压痕方法，推导出一系列闭合溶液，用于减少到均匀各向同性材料和抛物面几何形状的现有解决方案作为特殊情况。通过概括的Tabor参数捕获JKR和DMT型模型之间的完整转换。进行有限元分析以验证所获得的分析解决方案，并检查相互作用电位形式对拉出力的影响。本研究的进一步重要发现包括：（1）发现非抛物线冲床型材的拉出力在很大程度上取决于相互作用电位的形式，这与熟悉的抛物面案例不同; （2）对于所谓的Gibson固体，塔博尔参数上的拉出力的独立性仅适用于抛物面冲床型材; (3) A three-dimensional adhesion map has been constructed to aid the appropriate choice of different contact models involving power-law graded elastic materials.

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  • 来源
    《Journal of the Mechanics and Physics of Solids》 |2021年第9期|104509.1-104509.22|共22页
  • 作者

    Fan Jin; Qiqin Tang; Xu Guo; Huajian Gao;

  • 作者单位

    Institute of Systems Engineering China Academy of Engineering Physics Mianyang Sichuan 621999 PR China Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan Province Mianyang Sichuan 621999 PR China;

    Institute of Systems Engineering China Academy of Engineering Physics Mianyang Sichuan 621999 PR China;

    State Key Laboratory of Structural Analysis for Industrial Equipment Department of Engineering Mechanics Dalian University of Technology Dalian 116023 PR China;

    School of Mechanical and Aerospace Engineering College of Engineering Nanyang Technological University Singapore Singapore Institute of High Performance Computing A*STAR Singapore 138632 Singapore;

  • 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

    Adhesive contact; Elastic graded materials; Power-law profile; Maugis-Dugdale model; Adhesion Maps;

    机译：粘合剂接触;弹性分级材料;权力法概况;Maugis-Dugdale型号;粘附图;

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