It also increases. It increases linearly with stress in the elastic range, then increass more rapidly once the material is plastic ( yielded).
In material science, strain does not depend on stress; rather it's the reverse. Stress is proportional to strain, as stated by Hooke's Law, until the material reaches its elastic limit.
Stress
Brittle materials such as ceramics do not have a yield point. For these materials the rupture strength and the ultimate strength are the same, therefore the stress-strain curve would consist of only the elastic region, followed by a failure of the material.
initially there is the linear elastic region which obeys the hooks law :stress is directly proportional to the strain. at the end of the linear elastic region the ductile material reaches the yield point beyond which any change in dimensions become permanent. the material goes through a yield plateau in which stress is constant and the strain changes. after crossing the yield plateau the ductile material goes through the strain hardening region in which the deformation is permanent but as the region goes on the stress increases with the strain. here the strength of the ductile material increases as it is strain hardened. at a point it reaches the ultimate load point. This is the maximum load taken by the material. after which further deformation causes decrease in strength or the stress goes on decreasing finally breaking at the breaking load point. this region is called the post-ultimate region.
When ductile material is loaded, when stress reaches yield and if the load continues, as long as load is not high enough to break material, the material is strain hardened when returning to no load. That means its yield strength will be higher than before, and the material is stronger.
hi dear, yes its true that stress increases after lower yield for ductile material. it happens due to reason of strain hardening. strain hardening is the property of the material with which the grain structures presents in the body forms bond between them. so in order to break that bonds, the stress increases after lower yield point..
when the material fails
Stress
In material science, strain does not depend on stress; rather it's the reverse. Stress is proportional to strain, as stated by Hooke's Law, until the material reaches its elastic limit.
stress is load per unit area; when an object is loaded it is under stress and strain and it stretches (strains) until it breaks at its ultimate strength. Stress i srelated to strain in the elastic region by Hooke's law: stress = elastic modulus times strain where modulus is a property of the material and strain is deflection over length
it also increases in the same proportion as stress. Stress equals strain times a constant, where the constant is Young's modulus. This is Hooke's Law
5%
When the stress-strain curve of a material fails to produce a clear yield strength.
The value of the Young's Modulus of Elasticity, which is an inherent property of the material
Brittle materials such as ceramics do not have a yield point. For these materials the rupture strength and the ultimate strength are the same, therefore the stress-strain curve would consist of only the elastic region, followed by a failure of the material.
The change in shape of rock (and any other material) due to stress is called strain.
A hookean material obeys Hooke's Law: stress is proportional to strain in a linear fashion and when stress is removed strain returns to zero. Most materials behave this way until yield is reached but before that are readily analyzed. Mathematically, where s is stress and e is strain and E the elastic modulus material constant, we have s = Ee