嵌入软基质的远程加载单侧完全脱粘短刚性线夹杂物的全场解决方案:2D分析和实验见解

IF 2.6 4区 工程技术 Q2 MECHANICS
Swapnil Patil, S. Khaderi, Ramji Manoharan, Vishwanath Chinthapenta
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引用次数: 0

摘要

在二维各向同性弹性软基体中嵌入完全脱粘的短纤维(刚性线夹杂物/抗裂物)在远程加载条件下的问题是一个重要的研究课题。目前的工作使用Kolosov Muskhelisvili的复杂势框架研究嵌入在软(各向同性)矩阵中的完全脱粘裂纹。这里研究了两种构型:与加载方向平行(i)和垂直(ii)的脱粘包涵体。特别地,对于给定的问题,势采用非齐次黎曼-希尔伯特方程的形式。通过求解势的解析形式,得到了应力场。完全脱粘裂纹应力场在r^(-3/4)和r^(-1/4)之间表现出振荡奇异行为,与振荡指数e和材料常数有关。基于数字光弹性技术的数值模拟和实验验证了解析解的正确性。分析结果与实验和数值计算的应力场吻合较好,证实了该方法的准确性。通过在不连续点尖端定义一个复杂应力强度因子来量化奇异性的大小,并与实验估计值进行比较。在文献中,对于嵌入在各向同性软矩阵中的完全脱粘刚性包体,还没有完整的场解析解。研究结果对研究短纤维增强热塑性塑料(SFRT)复合材料的本构性能具有重要意义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Full field solution for remotely loaded one side completely debonded short rigid line inclusion embedded in soft matrix: 2D Analytical and Experimental insights
The problem of a completely debonded short fiber (rigid line inclusion/anticrack) embedded in a 2D isotropic elastic soft-matrix subjected to the remote loading condition is of fundamental interest. The current work investigates completely debonded anticrack embedded in a soft (isotropic) matrix using Kolosov Muskhelisvili's complex potential framework. Here two configurations are studied: debonded inclusion oriented (i) parallel and (ii) perpendicular to the loading direction. In particular, the potentials take the form of a non-homogeneous Riemann - Hilbert equation for the given problem. Upon solving analytical forms of potentials, the stress fields were obtained. The stress field for the fully debonded anticrack exhibited oscillatory singular behavior between r^(-3/4) and r^(-1/4) with the dependence on the oscillatory index e and material constants. The correctness of the analytical solution was validated using numerical simulation and experiments based on the digital photoelasticity technique. The analytical results were in good agreement with the experimental and numerically obtained stress fields confirming the accuracy of it. The magnitude of singularity is quantified by defining a complex stress intensity factor at the tip of the discontinuity and compared with the experimentally estimated value. So far in the literature, no full-field analytical solution exists for the completely debonded rigid inclusion embedded in an isotropic soft matrix. The solution obtained in the present work is of fundamental importance in developing the constitutive properties of short fiber reinforced thermoplastic (SFRT) composites.
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来源期刊
CiteScore
4.80
自引率
3.80%
发文量
95
审稿时长
5.8 months
期刊介绍: All areas of theoretical and applied mechanics including, but not limited to: Aerodynamics; Aeroelasticity; Biomechanics; Boundary layers; Composite materials; Computational mechanics; Constitutive modeling of materials; Dynamics; Elasticity; Experimental mechanics; Flow and fracture; Heat transport in fluid flows; Hydraulics; Impact; Internal flow; Mechanical properties of materials; Mechanics of shocks; Micromechanics; Nanomechanics; Plasticity; Stress analysis; Structures; Thermodynamics of materials and in flowing fluids; Thermo-mechanics; Turbulence; Vibration; Wave propagation
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