If I understand your question correctly, the stress from the thermal shock is the modulus of the material times the temperature times the coefficient of thermal expansion. As long as the stress is less than the critical stress intensity K divided by 2.5 divided by the square root of the crack depth then the crack will not propogate.mohammed El-Kady said:Summary:: the stress strain relation
If i have a thermal shock in a thermo-elastic material with crack mode I propagated ? what are the stress-strain relations in this case? or what is the factor K relation? "sorry if the question is not true, but i hope you understood what i mean"
"Crack Mode I: Stress-Strain Relation" refers to a type of fracture or failure that occurs in a material when a tensile stress is applied perpendicular to the direction of the crack. This is also known as "opening mode" or "tensile mode" fracture.
The stress-strain relation in "Crack Mode I" is determined through experiments where a material is subjected to a tensile stress in a direction perpendicular to a pre-existing crack. The resulting strain is then measured and plotted against the applied stress to determine the relationship between the two.
The stress-strain relation in "Crack Mode I" can be affected by various factors such as the material's composition, microstructure, loading rate, and environmental conditions. The presence of impurities or defects in the material can also influence the stress-strain relation.
"Crack Mode I" is different from other types of fractures, such as "Crack Mode II" and "Crack Mode III", because it occurs when a tensile stress is applied perpendicular to the direction of the crack. In contrast, "Crack Mode II" occurs when a shear stress is applied parallel to the direction of the crack, and "Crack Mode III" occurs when a shear stress is applied perpendicular to the direction of the crack.
Understanding the stress-strain relation in "Crack Mode I" is important because it can help predict and prevent failures in materials and structures. By knowing how a material will behave under tensile stress, engineers and scientists can design stronger and more durable materials and structures, reducing the risk of catastrophic failures.