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An idealized uniaxial stress-strain curve showing elastic and plastic deformation regimes for the deformation theory of plasticity. There are several mathematical descriptions of plasticity. [12] One is deformation theory (see e.g. Hooke's law) where the Cauchy stress tensor (of order d-1 in d dimensions) is a function of the strain tensor ...
The scholarly analysis of material culture, which can include both human made and natural or altered objects, is called material culture studies. [6] It is an interdisciplinary field and methodology that tells of the relationships between people and their things: the making, history, preservation and interpretation of objects. [ 7 ]
An alternative approach is to add a strain rate dependence to the yield stress and use the techniques of rate independent plasticity to calculate the response of a material. [ 4 ] For metals and alloys , viscoplasticity is the macroscopic behavior caused by a mechanism linked to the movement of dislocations in grains , with superposed effects ...
Plastic deformation of a thin metal sheet. Flow plasticity is a solid mechanics theory that is used to describe the plastic behavior of materials. [1] Flow plasticity theories are characterized by the assumption that a flow rule exists that can be used to determine the amount of plastic deformation in the material.
Daniel Charles Drucker (June 3, 1918 – September 1, 2001) was an American civil and mechanical engineer and academic, who served as president of the Society for Experimental Stress Analysis (now Society for Experimental Mechanics) in 1960–1961, [1] as president of the American Society of Mechanical Engineers in the year 1973–74, and as president of the American Academy of Mechanics in ...
Figure 1: View of Drucker–Prager yield surface in 3D space of principal stresses for =, =. The Drucker–Prager yield criterion [1] is a pressure-dependent model for determining whether a material has failed or undergone plastic yielding.
Greenwood and Williamson [31] defined a dimensionless parameter called the plasticity index that could be used to determine whether contact would be elastic or plastic. The Greenwood-Williamson model requires knowledge of two statistically dependent quantities; the standard deviation of the surface roughness and the curvature of the asperity peaks.
The equations that govern the deformation of jointed rocks are the same as those used to describe the motion of a continuum: [13] ˙ + = ˙ = = ˙: + = where (,) is the mass density, ˙ is the material time derivative of , (,) = ˙ (,) is the particle velocity, is the particle displacement, ˙ is the material time derivative of , (,) is the Cauchy stress tensor, (,) is the body force density ...