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Modified strip saturation model for a cracked piezoelectric strip

机译:裂纹压电带的修正带饱和模型

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Purpose: The investigations aim to propose a model for arresting an electrical opening of a crack which weakens a narrow, poled and infinite piezoelectric strip. The edges of the strip are subjected to uniform, constant anti-plane stresses and in-plane electrical displacements.Design/methodology/approach: The loads applied at the edges of the strip open the crack in a self-similar fashion. Consequently at each tip of the crack a saturation zone protrudes. To stop the crack from further opening the rims of developed saturation zones are subjected to normal, cohesive linearly varying saturation limit electric displacement. The edges of the strip are subjected to anti-plane deformation and in-plane electrical displacement. Fourier integral transform method employed reduces the problem to the solution of a Fredholm integral equation of second kind.Findings: The electrical displacement, stress intensity factor, the saturation zone length, crack opening displacement and crack growth rate have been calculated. The results obtained presented graphically, analysed and concluded.Research limitations/implications: The ceramic used for strip is being assumed to be electrically more brittle. The investigations are carried at this level in the present paper. Also the small scale electrical yielding is considered. Consequently the developed saturation zone is proposed to lie in a line segment ahead of crack.Practical implications: Piezoelectric ceramics being widely used as transducers. Their wide utility has prompted to study many attires of such ceramic and one such attire is fracture mechanics of these ceramics.Originality/value: The paper gives an assessment of the electrical load necessary to arrest the electrical crack opening. The investigations are useful to smart material design technology where sensors and actuators are manufactured
机译:目的:研究旨在提出一种用于阻止裂纹的电开口的模型,该裂纹会削弱狭窄的极化无限压电条。带材的边缘承受均匀,恒定的反平面应力和面内电位移。设计/方法/方法:带材边缘施加的载荷以自相似的方式打开裂纹。因此,在裂纹的每个尖端处都出现一个饱和区。为了阻止裂纹进一步打开,已扩展的饱和区的边缘要经受正常的,内聚的线性变化的饱和极限电位移。条带的边缘经受反平面变形和平面内电位移。所采用的傅里叶积分变换方法将问题简化为第二类Fredholm积分方程的求解。结果:计算了电位移,应力强度因子,饱和带长度,裂纹开口位移和裂纹扩展速率。研究结果的局限性/意义:假设用于带材的陶瓷在电气上更易碎。本文在这一级别进行了调查。还考虑了小规模的电产量。因此,建议将发达的饱和带置于裂纹之前的线段中。实际意义:压电陶瓷被广泛用作换能器。它们的广泛用途促使人们研究了这种陶瓷的许多服装,并且其中一种服装是这些陶瓷的断裂力学。原始技术/值:本文给出了阻止电裂纹开口所需的电负载的评估。这些调查对于制造传感器和执行器的智能材料设计技术很有用

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