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Mohr–Coulomb Theory
Mohr–Coulomb theory is a mathematical model (see yield surface) describing the response of brittle materials such as concrete, or rubble piles, to shear stress as well as normal stress. Most of the classical engineering materials follow this rule in at least a portion of their shear failure envelope. Generally the theory applies to materials for which the compressive strength far exceeds the tensile strength. In geotechnical engineering it is used to define shear strength of soils and rocks at different effective stresses. In structural engineering it is used to determine failure load as well as the angle of fracture of a displacement fracture in concrete and similar materials. Coulomb's friction hypothesis is used to determine the combination of shear and normal stress that will cause a fracture of the material. Mohr's circle is used to determine which principal stresses will produce this combination of shear and normal stress, and the angle of the plane in which this ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 under the action of forces, temperature changes, phase changes, and other external or internal agents. Solid mechanics is fundamental for civil, aerospace, nuclear, biomedical and mechanical engineering, for geology, and for many branches of physics 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 prostheses and surgical implants. One of the most common practical applications of solid mechanics is the Euler–Bernoulli beam equation. Solid mechanics extensively uses tensors to describe stresses, strains, and the relationship between them. Solid mechanics is a vast subject because of the wide range of solid materials available, such as steel, wood, concrete, biological materials, textiles, geologic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Angle Of Friction
Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: *Dry friction is a force that opposes the relative lateral motion of two solid surfaces in contact. Dry friction is subdivided into ''static friction'' ("stiction") between non-moving surfaces, and ''kinetic friction'' between moving surfaces. With the exception of atomic or molecular friction, dry friction generally arises from the interaction of surface features, known as asperities (see Figure 1). *Fluid friction describes the friction between layers of a viscous fluid that are moving relative to each other. *Lubricated friction is a case of fluid friction where a lubricant fluid separates two solid surfaces. *Skin friction is a component of drag, the force resisting the motion of a fluid across the surface of a body. *Internal friction is the force resisting motion between the elements making up a s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pounds Per Square Inch
The pound per square inch or, more accurately, pound-force per square inch (symbol: lbf/in2; abbreviation: psi) is a unit of pressure or of stress based on avoirdupois units. It is the pressure resulting from a force of one pound-force applied to an area of one square inch. In SI units, 1 psi is approximately equal to 6895 Pa. Pounds per square inch absolute (psia) is used to make it clear that the pressure is relative to a vacuum rather than the ambient atmospheric pressure. Since atmospheric pressure at sea level is around , this will be added to any pressure reading made in air at sea level. The converse is pounds per square inch gauge (psig), indicating that the pressure is relative to atmospheric pressure. For example, a bicycle tire pumped up to 65 psig in a local atmospheric pressure at sea level (14.7 psi) will have a pressure of 79.7 psia (14.7 psi + 65 psi). When gauge pressure is referenced to something other than ambient atmospheric pressure, then th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plasticity Theory
Flow plasticity is a solid mechanics theory that is used to describe the plastic behavior of materials. 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. In flow plasticity theories it is assumed that the total strain in a body can be decomposed additively (or multiplicatively) into an elastic part and a plastic part. The elastic part of the strain can be computed from a linear elastic or hyperelastic constitutive model. However, determination of the plastic part of the strain requires a flow rule and a hardening model. Small deformation theory Typical flow plasticity theories for unidirectional loading (for small deformation perfect plasticity or hardening plasticity) are developed on the basis of the following requirements: # The material has a linear elastic range. # The material has an elastic limit defined as the stress at which plastic deformation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mohr Coulomb Yield Surface Sig1sig2
Mohr may refer to: Places * Mohr, Fars, a city in Iran * Mohr County, an administrative subdivision of Iran * Mohr Rural District, an administrative subdivision of Iran Science and math * Mohr's circle, two-dimensional graphical representation of the state of stress at a point * Mohr–Coulomb theory, mathematical model describing the response of brittle materials * Mohr–Mascheroni theorem, used in mathematics and geometry * Mohr pipette, a laboratory volumetric instrument * Mohr's salt, common name of Ammonium iron(II) sulfate Other * Mohr (surname), a German-language surname (also listing people with that surname) * Michigan Organization for Human Rights, a defunct Michigan LGBT and human rights advocacy organization * Saint Maurice (died 287), French pronunciation transliterated into German "Moritz" or short, "Mohr" * Turbah, a small clay tablet used by Shi'a Muslims during daily prayers See also * Mohur (alternate spelling), a gold coin of South Asia * Moor (disambiguatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mohr Coulomb Yield Surface 3Db
Mohr may refer to: Places * Mohr, Fars, a city in Iran * Mohr County, an administrative subdivision of Iran * Mohr Rural District, an administrative subdivision of Iran Science and math * Mohr's circle, two-dimensional graphical representation of the state of stress at a point * Mohr–Coulomb theory, mathematical model describing the response of brittle materials * Mohr–Mascheroni theorem, used in mathematics and geometry * Mohr pipette, a laboratory volumetric instrument * Mohr's salt, common name of Ammonium iron(II) sulfate Other * Mohr (surname), a German-language surname (also listing people with that surname) * Michigan Organization for Human Rights, a defunct Michigan LGBT and human rights advocacy organization * Saint Maurice (died 287), French pronunciation transliterated into German "Moritz" or short, "Mohr" * Turbah, a small clay tablet used by Shi'a Muslims during daily prayers See also * Mohur (alternate spelling), a gold coin of South Asia * Moor (disambiguatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yield Surface
A yield surface is a five-dimensional surface in the six-dimensional space of stresses. The yield surface is usually 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 point and the material is said to have become 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 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 principal stress space ( \sigma_1, \sigma_2 , \sigma_3), a two- or three-dimensional space spanned by stress invariants ( I_1, J_2, J ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cohesion (geology)
Cohesion is the component of shear strength of a rock or soil that is independent of interparticle friction. In soils, true cohesion is caused by following: # Electrostatic forces in stiff overconsolidated clays (which may be lost through weathering) # Cementing by Fe2 O3, Ca CO3, Na Cl, etc. There can also be apparent cohesion. This is caused by: # Negative capillary pressure (which is lost upon wetting) # Pore pressure response during undrained loading (which is lost through time) # Root cohesion (which may be lost through logging or fire of the contributing plants, or through solution) Typical values of cohesion Cohesion (alternatively called the cohesive strength) is typically measured on the basis of Mohr–Coulomb theory. Some values for rocks and some common soils are listed in the table below. Apparent cohesion of soil During critical state flow of soil, the undrained cohesion results from effective stress and critical state friction, not chemical bonds bet ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mohr Coulomb Yield Surface 3Da
Mohr may refer to: Places * Mohr, Fars, a city in Iran * Mohr County, an administrative subdivision of Iran * Mohr Rural District, an administrative subdivision of Iran Science and math * Mohr's circle, two-dimensional graphical representation of the state of stress at a point * Mohr–Coulomb theory, mathematical model describing the response of brittle materials * Mohr–Mascheroni theorem, used in mathematics and geometry * Mohr pipette, a laboratory volumetric instrument * Mohr's salt, common name of Ammonium iron(II) sulfate Other * Mohr (surname), a German-language surname (also listing people with that surname) * Michigan Organization for Human Rights, a defunct Michigan LGBT and human rights advocacy organization * Saint Maurice (died 287), French pronunciation transliterated into German "Moritz" or short, "Mohr" * Turbah, a small clay tablet used by Shi'a Muslims during daily prayers See also * Mohur (alternate spelling), a gold coin of South Asia * Moor (disambiguatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Christian Otto Mohr
Christian Otto Mohr (8 October 1835 – 2 October 1918) was a German civil engineer. He is renowned for his contributions to the field of structural engineering, such as Mohr's circle, and for his study of stress. Biography He was born on 8 October 1835 to a landowning family in Wesselburen in the Holstein region. At the age of 16 attended the Polytechnic School in Hannover. Starting in 1855, his early working life was spent in railroad engineering for the Hanover and Oldenburg state railways, designing some famous bridges and making some of the earliest uses of steel trusses. Even during his early railway years, Mohr had developed an interest in the theories of mechanics and the strength of materials. In 1867, he became professor of mechanics at Stuttgart Polytechnic, and in 1873 at Dresden Polytechnic. Mohr had a direct and unpretentious lecturing style that was popular with his students. In addition to a lone textbook, Mohr published many research papers on the theory of st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Extension Failure
Extension, extend or extended may refer to: Mathematics Logic or set theory * Axiom of extensionality * Extensible cardinal * Extension (model theory) * Extension (predicate logic), the set of tuples of values that satisfy the predicate * Extension (semantics), the set of things to which a property applies * Extension by definitions * Extensional definition, a definition that enumerates every individual a term applies to * Extensionality Other uses * Extension of a polyhedron, in geometry * Exterior algebra, Grassmann's theory of extension, in geometry * Homotopy extension property, in topology * Kolmogorov extension theorem, in probability theory * Linear extension, in order theory * Sheaf extension, in algebraic geometry * Tietze extension theorem, in topology * Whitney extension theorem, in differential geometry * Group extension, in abstract algebra and homological algebra Music * Extension (music), notes that fit outside the standard range * ''Extended'' (Solar Field ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William John Macquorn Rankine
William John Macquorn Rankine (; 5 July 1820 – 24 December 1872) was a Scottish mechanical engineer who also contributed to civil engineering, physics and mathematics. He was a founding contributor, with Rudolf Clausius and William Thomson (Lord Kelvin), to the science of thermodynamics, particularly focusing on the first of the three thermodynamic laws. He developed the Rankine scale, an equivalent to the Kelvin scale of temperature, but in degrees Fahrenheit rather than Celsius. Rankine developed a complete theory of the steam engine and indeed of all heat engines. His manuals of engineering science and practice were used for many decades after their publication in the 1850s and 1860s. He published several hundred papers and notes on science and engineering topics, from 1840 onwards, and his interests were extremely varied, including, in his youth, botany, music theory and number theory, and, in his mature years, most major branches of science, mathematics and engineering. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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