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Boundless Physics
Static Equilibrium, Elasticity, and Torque
Elasticity, Stress, Strain, and Fracture
Physics Textbooks Boundless Physics Static Equilibrium, Elasticity, and Torque Elasticity, Stress, Strain, and Fracture
Physics Textbooks Boundless Physics Static Equilibrium, Elasticity, and Torque
Physics Textbooks Boundless Physics
Physics Textbooks
Physics
Concept Version 7
Created by Boundless

Fracture

Fracture is caused by a strain placed on an object such that it deforms beyond its elastic limit and breaks.

Learning Objective

  • Relate fracture with the elastic limit of a material


Key Points

    • Most objects behave elastically for small strains and return to their original shape after being bent.
    • If the strain on an object is greater than the elastic limit of the object, it will permanently deform or eventually fracture.
    • Fracture strength is a measure of the force needed to break an object.

Terms

  • strain

    The amount by which a material deforms under stress or force, given as a ratio of the deformation to the initial dimension of the material and typically symbolized by ε is termed the engineering strain. The true strain is defined as the natural logarithm of the ratio of the final dimension to the initial dimension.

  • elastic

    Capable of stretching; particularly, capable of stretching so as to return to an original shape or size when force is released.


Full Text

Materials cannot stretch forever. When a strain is applied to a material it deforms elastically proportional to the force applied. However, after it has deformed a certain amount, the object can no longer take the strain and will break or fracture. The zone in which it bends under strain is called the elastic region. In that region the object will bend and then return to its original shape when the force is abated. Past that point, if more strain is added, the object may permanently deform and eventually fracture.

Fracture strength, also known as breaking strength, is the stress at which a specimen fails via fracture. This is usually determined for a given specimen by a tensile test, which charts the stress-strain curve . The final recorded point is the fracture strength.

Fracture

This is a graph of deformation ΔL versus applied force F. The straight segment is the linear region where Hooke's law is obeyed. The slope of the straight region is 1k. For larger forces, the graph is curved but the deformation is still elastic—L will return to zero if the force is removed. Still greater forces permanently deform the object until it finally fractures. The shape of the curve near fracture depends on several factors, including how the force F is applied. Note that in this graph the slope increases just before fracture, indicating that a small increase in F is producing a large increase in L near the fracture.

Bones, on the whole, do not fracture due to tension or compression. Rather they generally fracture due to sideways impact or bending, resulting in the bone shearing or snapping. The behavior of bones under tension and compression is important because it determines the load the bones can carry. Bones are classified as weight-bearing structures such as columns in buildings and trees. Weight-bearing structures have special features; columns in building have steel-reinforcing rods while trees and bones are fibrous. The bones in different parts of the body serve different structural functions and are prone to different stresses. Thus, the bone in the top of the femur is arranged in thin sheets separated by marrow while, in other places, the bones can be cylindrical and filled with marrow or just solid. Overweight people have a tendency toward bone damage due to sustained compressions in bone joints and tendons.

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