Lengthwise Fracture Analysis of Inhomogeneous Viscoelastic Cantilever Beam Subjected to Sinusoidal Strains

IF 1 Q3 MULTIDISCIPLINARY SCIENCES
Victor RİZOV
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引用次数: 0

Abstract

This paper describes an analysis of lengthwise fracture in a viscoelastic inhomogeneous cantilever beam configuration under strain that is a sinusoidal function of time. The mechanical behaviour of the beam is treated by a viscoelastic model having two linear springs and a linear dashpot. The beam is continuously inhomogeneous along its thickness. Therefore, the modulii of elasticity of the springs and the coefficient of viscosity of the dashpot vary smoothly along the thickness of the beam. The compliance method is applied to derive a solution of the strain energy release rate for the lengthwise crack in the beam structure. The J-integral is used for verification. The stress-strain-time dependence of the viscoelastic model is applied for describing the behavior of the beam when obtaining solutions of the strain energy release rate and the J-integral. Solutions are derived for both positive and negative angle of rotation of the lower crack arm free end (when the angle is positive, the upper crack arm is free of stresses, while at negative angle both crack arms are loaded). The effects of various factors including the sign of the angle of rotation on the strain energy release rate are analyzed.
正弦应变作用下非均匀粘弹性悬臂梁纵向断裂分析
本文描述了黏弹性非均匀悬臂梁在应变为时间正弦函数作用下的纵向断裂分析。梁的力学行为是处理粘弹性模型有两个线性弹簧和一个线性阻尼器。梁沿其厚度连续不均匀。因此,弹簧的弹性模量和阻尼器的粘滞系数沿梁的厚度平滑地变化。应用柔度法推导了梁结构纵向裂纹应变能释放率的解。j积分用于验证。在得到应变能释放率和j积分的解时,应用粘弹性模型的应力-应变-时间依赖关系来描述梁的行为。导出了下裂纹臂自由端正、负转角的解(当转角为正时,上裂纹臂无应力,当转角为负时,上裂纹臂均受载荷)。分析了旋转角度符号等因素对应变能释放率的影响。
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来源期刊
gazi university journal of science
gazi university journal of science MULTIDISCIPLINARY SCIENCES-
CiteScore
1.60
自引率
11.10%
发文量
87
期刊介绍: The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.
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