Estimation of Stress Intensity Factor of Multiple Inclined Centre Cracks under Biaxial Loading
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TECHNICAL ARTICLE—PEER-REVIEWED
Estimation of Stress Intensity Factor of Multiple Inclined Centre Cracks under Biaxial Loading S. Arunkumar
. V. K. Nithin
Submitted: 23 April 2020 / in revised form: 16 July 2020 / Accepted: 12 September 2020 Ó ASM International 2020
Abstract All mechanical components are usually subjected to several manufacturing operations such as primary processing, machining, and finishing operations. During these operations, it is possible for the flaws to be introduced in the component either internally or on the external surface. In this situation, the reliability and safety assessment of the component in the presence of flaws can be achieved using fracture mechanics tool. This tool aids in analysing the severity of crack situation and its stability for the given loading conditions using certain fracture parameters. In this work, the stress intensity factor (SIF) analysis of a 2D rectangular plate with a centre crack (through the thickness) subjected to biaxial loading is performed through simulation. The numerical model is validated using analytical results available in the literature. The influence of parameters such as biaxial loading factor, ratio of crack length to width of the plate, inclination of crack, number of cracks on the SIFs is investigated. Keywords Fracture mechanics Biaxial loading Stress intensity factors Parallel cracks List of Symbols 2a Total centre crack length b Distance between the two adjacent cracks W Width of the plate L Length of the plate a Angle of inclination of crack with X-axis B Biaxial loading factor r Stress along Y-axis S. Arunkumar (&) V. K. Nithin Department of Mechanical Engineering, Amrita Vishwa Vidyapeetham, Amritapuri, Kerala 690525, India e-mail: [email protected]; [email protected]
Br K I, KII
Stress along X-axis Mode I and Mode II Stress Intensity Factors, respectively
Introduction The strength and reliability of a mechanical components are severely affected in the presence of cracks. Investigation of the effect of cracks in the component is very important to circumvent the failure during service conditions. Several catastrophic failures in the past have motivated the engineering community in understanding the behaviour of materials having defects or cracks. This led to development of a tool called fracture mechanics. This tool deals with the behaviour of bodies in the presence of flaws or cracks. In recent years, fracture mechanics is extensively used in the determining the materials behaviour subjected to static and dynamic loading. This tool provides a quantitative relationship between defect size, applied load and the material property which helps to obtain the fracture resistance characteristics of a material. In addition, the stress distribution around the tip of crack in a material (subjected to linear elastic loads) can be obtained using a parameter known as Stress Intensity Factor (SIF). When the SIF reaches its critical value, the crack propagates unstably and leads to fracture of the material. From the value
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