14 relations: Brittleness, Cauchy stress tensor, Continuum mechanics, Drucker–Prager yield criterion, Ductility, Elasticity (physics), Energy density, Hydrostatics, Kronecker delta, Material failure theory, Poisson's ratio, Shear modulus, Stress (mechanics), Von Mises yield criterion.
Brittleness
# A material is brittle if, when subjected to stress, it breaks without significant plastic deformation.
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Cauchy stress tensor
In continuum mechanics, the Cauchy stress tensor \boldsymbol\sigma, true stress tensor, or simply called the stress tensor is a second order tensor named after Augustin-Louis Cauchy.
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Continuum mechanics
Continuum mechanics is a branch of mechanics that deals with the analysis of the kinematics and the mechanical behavior of materials modeled as a continuous mass rather than as discrete particles.
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Drucker–Prager yield criterion
The Drucker–Prager yield criterion is a pressure-dependent model for determining whether a material has failed or undergone plastic yielding.
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Ductility
Ductility is a measure of a material's ability to undergo significant plastic deformation before rupture, which may be expressed as percent elongation or percent area reduction from a tensile test.
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Elasticity (physics)
In physics, elasticity (from Greek ἐλαστός "ductible") is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed.
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Energy density
Energy density is the amount of energy stored in a given system or region of space per unit volume.
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Hydrostatics
Fluid statics or hydrostatics is the branch of fluid mechanics that studies fluids at rest.
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Kronecker delta
In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually just non-negative integers.
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Material failure theory
Failure theory is the science of predicting the conditions under which solid materials fail under the action of external loads.
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Poisson's ratio
Poisson's ratio, denoted by the Greek letter 'nu', \nu, and named after Siméon Poisson, is the negative of the ratio of (signed) transverse strain to (signed) axial strain.
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Shear modulus
In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S or μ, is defined as the ratio of shear stress to the shear strain: where The derived SI unit of shear modulus is the pascal (Pa), although it is usually expressed in gigapascals (GPa) or in thousands of pounds per square inch (ksi).
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Stress (mechanics)
In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material.
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Von Mises yield criterion
The von Mises yield criterion (also known as the maximum distortion energy criterion) suggests that yielding of a ductile material begins when the second deviatoric stress invariant J_2 reaches a critical value.
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