Material failure theory is an interdisciplinary field of materials science and solid mechanics which attempts to predict the conditions under which solid...

engineering materials follow this rule in at least a portion of their shear failure envelope. Generally the theory applies to materials for which the...

Tsai–Hill failure criterion is one of the phenomenological material failure theories, which is widely used for anisotropic composite materials which have...

The Tsai–Wu failure criterion is a phenomenological material failure theory which is widely used for anisotropic composite materials which have different...

loading and its susceptibility to various failure modes takes into account the properties of the materials such as its yield strength, ultimate strength...

Within the branch of materials science known as material failure theory, the Goodman relation (also called a Goodman diagram, a Goodman-Haigh diagram,...

material begins when the second invariant of deviatoric stress J 2 {\displaystyle J_{2}} reaches a critical value. It is a part of plasticity theory that...

solid mechanics examines the shear stress, deformation and the failure of solid materials and structures. The most common topics covered in solid mechanics...

propagation of cracks in a material due to cyclic loading Fault (geology) – Fracture or discontinuity in displaced rock Material failure theory – Science of predicting...

of ductile materials could be explained in terms of the theory of dislocations. The mathematical theory of plasticity, flow plasticity theory, uses a set...

mathematical terms, failure theory is expressed in the form of various failure criteria which are valid for specific materials. Failure criteria are functions...

infinitesimal strain theory is a mathematical approach to the description of the deformation of a solid body in which the displacements of the material particles...

loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics. The fundamental "linearizing"...

explanation for the observed relationship. Instead of a static theory, a kinetic theory is needed, which was developed over the next two centuries by Daniel...

the volume of gas at temperature T, V0 is the volume at 0 °C. The kinetic theory of gases relates the macroscopic properties of gases, such as pressure and...

gradient (F) is the primary deformation measure used in finite strain theory. A material is said to be Cauchy-elastic if the Cauchy stress tensor σ is a function...

In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which strains...

material is a special case of a Cauchy elastic material. For many materials, linear elastic models do not accurately describe the observed material behaviour...

Maxwell and Ludwig Boltzmann, gave rise to the kinetic theory of gases, a microscopic theory from which the ideal gas law can be derived as an statistical...

plastically-deforming materials and other fluids and biological soft tissue. Infinitesimal strain theory, also called small strain theory, small deformation theory, small...

published in 1809. Since there was no direct evidence for Avogadro's molecular theory, very few chemists adopted Avogadro's hypothesis as generally valid until...

Introduction to Plasma Theory. John Wiley & Sons. ISBN 978-0-471-09045-8. Hamrang, Abbas (2014). Advanced Non-Classical Materials with Complex Behavior:...

In physics, a fluid is a liquid, gas, or other material that may continuously move and deform (flow) under an applied shear stress, or external force....

processes in an isolated system, the total mass of the reactants, or starting materials, must be equal to the mass of the products. The concept of mass conservation...

incorrect, explanations can be labeled the "Longer Path" theory, or the "Equal Transit Time" theory. Smith, Norman F. (November 1972). "Bernoulli and Newton...

where c a {\displaystyle c_{a}} is a scalar dependent on the shape and material of the rotating object, u {\displaystyle u} is the speed of the fluid relative...

Infinitesimal strain Compatibility Bending Contact mechanics frictional Material failure theory Fracture mechanics Fluid mechanics Rheology Scientists Bernoulli...

and metallurgy. Materials science is also an important part of forensic engineering and failure analysis – investigating materials, products, structures...

the material, producing rapid propagation and typically complete fracture of the structure. Fatigue has traditionally been associated with the failure of...

clock. The modern theory of elasticity generalizes Hooke's law to say that the strain (deformation) of an elastic object or material is proportional to...