What is elastic fracture?

Linear Elastic Fracture Mechanics (LEFM) first assumes that the material is isotropic and linear elastic. Based on the assumption, the stress field near the crack tip is calculated using the theory of elasticity. When the stresses near the crack tip exceed the material fracture toughness, the crack will grow.

What are the three modes of fracture?

Modes of fracture refers to the decomposition of crack tip stresses into three loadings, or “modes.” The modes are Mode-I (stress orthogonal to the local plane of the crack surface), Mode-II (stress parallel to the crack surface but orthogonal to the crack front), and Mode-III (stress parallel to the crack surface and …

What is a linear elastic material?

A linear elastic material is a mathematical model used to analyze the deformation of solid bodies. When the loads are removed, the material naturally returns to its original, undeformed shape. In other words, the material stress level doesn’t reach the yield strength limit.

What is the fracture mechanics approach?

Fracture mechanics is the field of mechanics concerned with the study of the propagation of cracks in materials. It uses methods of analytical solid mechanics to calculate the driving force on a crack and those of experimental solid mechanics to characterize the material’s resistance to fracture.

How many direct modes of linear elastic fracture are present?

2.2 Fracture mechanics: linear elastic fracture mechanics. in the case of a wide plate sample containing a small crack. As Kc characterizes a material’s resistance to brittle fracture, it is called fracture toughness. There are three different modes of crack displacement.

What is singularity in fracture mechanics?

Stress singularity in elasticity indicates a point at which the stress is infinite. Therefore, the stress field near the crack tip is recognized as stress singularity. Although fracture mechanics has been established based on the stress singularity at the crack tip.

What is a linear elastic solid?

An elastic solid that undergoes only an infinitesimal deformation and for which the governing material law is linear is called a linear elastic solid.

What are linear elastic or Hookean materials?

A material which obeys hooke’s law is called a linear elastic or Hookean material. Hookean behaviour is also called linear elasticity.

What is linear elastic fracture mechanics Lefm?

Linear elastic fracture mechanics (LEFM) is based on the analysis of cracks in linear elastic materials. It provides a tool for solving most practical problems in engineering mechanics, such as safety and life expectancy estimation of cracked structures and components.

What are the general uses of fracture mechanics?

Fracture mechanics can be used in three major areas: (i) design; (ii) material selection and alloy development; and (iii) determining the significance of defects. Ancillary areas are (iv) monitoring and control, and failure analysis.