Modulus of resilience

The shaded area in the stress-strain plot shown in Figure 1.4 is numerically equal to the modulus of resilience. It is to be noted that for a given value of E, Ur directly proportional to cPL while for a given value of cPL, Ur is inversely proportional to E (stiffness). 

Modnlus of Resillenoe—Modulus of resilience is a mechanical property of a material that shows how efifective the material is in absorbing mechanical energy isdthout going throu any permanent damage. 

See compressive modulus, flexural modulus, shear modulus, modulus of elasticity and modulus of resilience. 

Modulus of resilience n. The energy that can be absorbed per unit volume of a stressed specimen without creating a permanent deformation. It is equal to the area under the stress-strain graph from zero to the elastic limit divided by the volume of specimen undergoing deformation. 

The modulus of resilience, denoted (7j, and expressed in Pa, corresponds to the strain energy stored per unit volume required to stress the material from zero to the true yield strength. Several mathematical approximations for the area under the true stress-strain curve can be used ... 

Figure 12.9. Selection of diamond type as a function of modulus of resilience of workpiece. ...

Dredge pumps and baU mill liners must be able to absorb the energy of impact without fracture. The energy due to impact involves both loads and deflections. The capacity to absorb such energy is called the resilience. Its measure is the modulus of resilience. For steels, it is the area under the stress-to-stram triangle in the elastic range shown in Figure 10-1. 

Modulus of Elasticity and Modulus of Resilience. (2) The absolute value of a complex number or quantity, equal to the square root of the sum of the squares of the real and imaginary parts. (3) Modulus at 300% n The tensile stress required to elongate a specimen to three times its original length (200% elongation)... 

Give brief definitions of and the units for modulus of resilience and toughness (static). 

Resilience is the capacity of a material to absorb energy when it is deformed elastically and then, upon unloading, to have this energy recovered. The associated property is the modulus of resilience, U which is the strain energy per unit volume required to stress a material from an unloaded state up to the point of yielding. 

Computationally, the modulus of resilience for a specimen subjected to a imiaxial tension test is just the area under the engineering stress-strain cmwe taken to yielding (Figure 6.15), or... 

Figure 6.15 Schematic representation showing how modulus of resilience (corresponding to the shaded area) is determined from the tensile stress-strain behavior of a material.

Modulus of resilience Ur Energy absorption—elastic deformation... 

Modulus of resilience is the strain energy per imit volume of material required to stress a material to the point of yielding—or the area under the elastic portion of the engineering stress-strain curve. For a metal that displays linear-elastic behavior, its value may be determined using Equation 6.14. 

Using data found in Appendix B, estimate the modulus of resilience (in MPa) of cold-rolled 17-7PH stainless steel. 

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