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...

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

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...

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...

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

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

analogous to the idea of Archimedes' principle. Ship stability – Archimedes's theory of displacement of fluid is a core principle of ship stability. List of...

of the Mathematicks in the University of Cambridge; containing his new theory about light and colors: sent by the author to the publisher from Cambridge...

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

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...

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

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

term "pressure" will refer only to the scalar pressure. According to the theory of general relativity, pressure increases the strength of a gravitational...

viscoelastic materials exhibit rubber like behavior explained by the thermodynamic theory of polymer elasticity. Some examples of viscoelastic materials are amorphous...

equilibrated container into outside vacuum can be calculated based on kinetic theory. The number of atomic or molecular collisions with a wall of a container...

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

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....

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...

University of Chicago Press. Temam, R. (2001). Navier-Stokes equations: theory and numerical analysis (Vol. 343). American Mathematical Society. Foias...

They were developed over several decades of progressively building the theories, from 1822 (Navier) to 1842–1850 (Stokes). The Navier–Stokes equations...

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

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...

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

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

strength theory (UST). proposed by Yu Mao-Hong is a series of yield criteria (see yield surface) and failure criteria (see Material failure theory). It is...

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...

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...

limit. Transport theory provides an alternative interpretation of viscosity in terms of momentum transport: viscosity is the material property which characterizes...