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Von Mises Yield Criterion
In continuum mechanics, the maximum distortion energy criterion (also von Mises yield criterion) states that yielding of a ductile material begins when the second invariant of deviatoric stress J_2 reaches a critical value. It is a part of plasticity theory that mostly applies to ductile materials, such as some metals. Prior to yield, material response can be assumed to be of a linear elastic, nonlinear elastic, or viscoelastic In materials science and continuum mechanics, viscoelasticity is the property of materials that exhibit both Viscosity, viscous and Elasticity (physics), elastic characteristics when undergoing deformation (engineering), deformation. Viscous mate ... behavior. In materials science and engineering, the von Mises yield criterion is also formulated in terms of the von Mises stress or equivalent tensile stress, \sigma_\text. This is a scalar value of stress that can be computed from the Cauchy stress tensor. In this case, a material is said to start y ...
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Solid Mechanics
Solid mechanics (also known as mechanics of solids) is the branch of continuum mechanics that studies the behavior of solid materials, especially their motion and deformation (mechanics), deformation under the action of forces, temperature changes, phase (chemistry), phase changes, and other external or internal agents. Solid mechanics is fundamental for civil engineering, civil, Aerospace engineering, aerospace, nuclear engineering, nuclear, Biomedical engineering, biomedical and mechanical engineering, for geology, and for many branches of physics and chemistry such as materials science. It has specific applications in many other areas, such as understanding the anatomy of living beings, and the design of dental prosthesis, dental prostheses and surgical implants. One of the most common practical applications of solid mechanics is the Euler–Bernoulli beam theory, Euler–Bernoulli beam equation. Solid mechanics extensively uses tensors to describe stresses, strains, and the r ...
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James Clerk Maxwell
James Clerk Maxwell (13 June 1831 – 5 November 1879) was a Scottish physicist and mathematician who was responsible for the classical theory of electromagnetic radiation, which was the first theory to describe electricity, magnetism and light as different manifestations of the same phenomenon. Maxwell's equations for electromagnetism achieved the Unification (physics)#Unification of magnetism, electricity, light and related radiation, second great unification in physics, where Unification (physics)#Unification of gravity and astronomy, the first one had been realised by Isaac Newton. Maxwell was also key in the creation of statistical mechanics. With the publication of "A Dynamical Theory of the Electromagnetic Field" in 1865, Maxwell demonstrated that electric force, electric and magnetic fields travel through space as waves moving at the speed of light. He proposed that light is an undulation in the same medium that is the cause of electric and magnetic phenomena. (Th ...
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Henri Tresca
Henri Édouard Tresca (12 October 1814 – 21 June 1885) was a French mechanical engineer, and a professor at the Conservatoire National des Arts et Métiers in Paris. Work on plasticity He is the father of the field of plasticity, or non-recoverable deformations, which he explored in an extensive series of experiments begun in 1864. He stated one of the first criterion of material failure, that now bears his name. The criterion specifies that a material would flow plastically if \ \sigma_=\sigma_1-\sigma_3 > \sigma_ Tresca's criterion is one of two main failure criteria used today for ductile materials. The second important criterion is due to Richard von Mises. See comparison on the image left: Design of the International Prototype Metre Tresca was also among the designers of the prototype metre bar that served as the first standard of length for the metric system. After the Convention of the Metre had been signed in 1875, the International Bureau of Weights and Mea ...
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Yield Surface
A yield surface is a five-dimensional surface in the six-dimensional space of Stress (mechanics), stresses. The yield surface is usually convex polytope, convex and the state of stress of ''inside'' the yield surface is elastic. When the stress state lies on the surface the material is said to have reached its Yield (engineering), yield point and the material is said to have become Plasticity (physics), plastic. Further deformation of the material causes the stress state to remain on the yield surface, even though the shape and size of the surface may change as the plastic deformation evolves. This is because stress states that lie outside the yield surface are non-permissible in plasticity (physics), rate-independent plasticity, though not in some models of viscoplasticity.Simo, J. C. and Hughes, T,. J. R., (1998), Computational Inelasticity, Springer. The yield surface is usually expressed in terms of (and visualized in) a three-dimensional Stress (physics)#Principal stresses ...
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Arpad L
Arpad or Árpád may refer to: People * Árpád (given name), a Hungarian men's name * Árpád (c. 845–907), first ruler of Hungary Places * Arpad, Syria, an ancient city in present-day Syria near Tell Rifaat * Árpád, the Hungarian name for Arpăşel village, Batăr Commune, Bihor County, Romania Other * Árpád Bridge, a bridge in Budapest, Hungary, named after the above person * Árpád dynasty, the ruling dynasty in Hungary * ''Arpad, the Gypsy ''Arpad, the Gypsy'' (French: ''Arpad le Tzigane'', German: ''Arpad, der Zigeuner'') is a Hungarian-French-German television film series which aired on ORTF in France and ZDF in Germany between 1973 and 1974. It starred Robert Etcheverry as Arpa ...'', a Hungarian-French-German television film series * SMS ''Árpád'', the name of an Austro-Hungarian battleship {{disambiguation ...
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Shear Stress
Shear stress (often denoted by , Greek alphabet, Greek: tau) is the component of stress (physics), stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. ''Normal stress'', on the other hand, arises from the force vector component perpendicular to the material cross section on which it acts. General shear stress The formula to calculate average shear stress or force per unit area is: \tau = ,where is the force applied and is the cross-sectional area. The area involved corresponds to the material face (geometry), face parallel to the applied force vector, i.e., with surface normal vector perpendicular to the force. Other forms Wall shear stress Wall shear stress expresses the retarding force (per unit area) from a wall in the layers of a fluid flowing next to the wall. It is defined as:\tau_w := \mu\left.\frac\_,where is the dynamic viscosity, is the flow velocity, and is the ...
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Degrees Of Freedom (mechanics)
In classical mechanics, physics, the number of degrees of freedom (DOF) of a mechanical system is the number of independent parameters required to completely specify its configuration or state. That number is an important property in the analysis of systems of bodies in mechanical engineering, structural engineering, aerospace engineering, robotics, and other fields. As an example, the position of a single railcar (engine) moving along a track has one degree of freedom because the position of the car can be completely specified by a single number expressing its distance along the track from some chosen origin. A train of rigid cars connected by hinges to an engine still has only one degree of freedom because the positions of the cars behind the engine are constrained by the shape of the track. For a second example, an automobile with a very stiff suspension can be considered to be a rigid body traveling on a plane (a flat, two-dimensional space). This body has three independe ...
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Tresca Stress 2D
Tresca may refer to: * Carlo Tresca (1879–1943), Italian-born American anarchist * Henri Tresca Henri Édouard Tresca (12 October 1814 – 21 June 1885) was a French mechanical engineer, and a professor at the Conservatoire National des Arts et Métiers in Paris. Work on plasticity He is the father of the field of plasticity, or non-recov ... (1814–1885), French mechanical engineer {{surname ...
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Yield Surface
A yield surface is a five-dimensional surface in the six-dimensional space of Stress (mechanics), stresses. The yield surface is usually convex polytope, convex and the state of stress of ''inside'' the yield surface is elastic. When the stress state lies on the surface the material is said to have reached its Yield (engineering), yield point and the material is said to have become Plasticity (physics), plastic. Further deformation of the material causes the stress state to remain on the yield surface, even though the shape and size of the surface may change as the plastic deformation evolves. This is because stress states that lie outside the yield surface are non-permissible in plasticity (physics), rate-independent plasticity, though not in some models of viscoplasticity.Simo, J. C. and Hughes, T,. J. R., (1998), Computational Inelasticity, Springer. The yield surface is usually expressed in terms of (and visualized in) a three-dimensional Stress (physics)#Principal stresses ...
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Yield Surfaces
Yield may refer to: Measures of output/function Computer science * Yield (multithreading) is an action that occurs in a computer program during multithreading * See generator (computer programming) Physics/chemistry * Yield (chemistry), the amount of product obtained in a chemical reaction ** The arrow symbol in a chemical equation * Yield (engineering), yield strength of a material as defined in engineering and material science * Fission product yield * Nuclear weapon yield Earth science * Crop yield, measurement of the amount of a crop harvested, or animal products such as wool, meat or milk produced, per unit area of land ** Yield (wine), the amount of grapes or wine that is produced per unit surface of vineyard * Ecological yield, the harvestable population growth of an ecosystem, most commonly measured in forestry and fishery * Specific yield, a measure of aquifer capacity * Yield (hydrology), the volume of water escaping from a spring Production/manufacturing * Yield (cas ...
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Heinrich Hencky
Heinrich Hencky (2 November 1885 – 6 July 1951) was a German engineer. Born in Ansbach, he studied civil engineering in Munich and received his PhD from the Technische Hochschule Darmstadt. In 1913, he joined a railway company in Kharkiv, Ukraine. On the outbreak of World War I he was interned. After the war he taught at Darmstadt, Dresden and at Delft in the Netherlands. At Delft University of Technology he worked on slip-line theory, plasticity and rheology, for which he is best known. In 1930 he went to Massachusetts Institute of Technology and in 1931 gave one of the first lectures on rheology. He returned to Delft and then to Germany. In 1936 he went to Russia, teaching at Kharkiv and Moscow Moscow is the Capital city, capital and List of cities and towns in Russia by population, largest city of Russia, standing on the Moskva (river), Moskva River in Central Russia. It has a population estimated at over 13 million residents with .... Hencky died in a climbing ...
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Huber's Equation
Huber's (originally The Bureau Saloon) is a restaurant in Portland, Oregon that bills itself as the city's oldest restaurant, having been established in 1879. Known for its turkey dinner and Spanish coffee, Huber's is often listed as a recommended restaurant to eat at in Portland. The establishment has also been featured in a film by Gus Van Sant. Huber's is within the Railway Exchange Building (now known as the Oregon Pioneer Building). Description Located in Portland's historic Pioneer Building, Huber's contains "arched stained-glass skylights, mahogany paneling and terrazzo flooring". Original fixtures such as spittoons, overhead lights, a pewter wine stand, and cash registers, fans, and operable clocks made of brass still remain, "reminders of its rich history". The restaurant's yellow and amber skylight was made by the Povey Brothers Studio. Continuing with the tradition of preparing turkey dinners since the 1800s, Huber's prepares around 100 pounds of turkey each day to ...
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