Pascal's law (also Pascal's principle or the principle of transmission of fluid-pressure) is a principle in fluid mechanics given by Blaise Pascal that...

per square metre (N/m2) or pascal (Pa), corresponding to the stress scalar. The unit vector is dimensionless. The Cauchy stress tensor obeys the tensor...

special case. For small strains, the measure of stress that is used is the Cauchy stress while the measure of strain that is used is the infinitesimal strain...

equilibrium and calculus of infinitesimals. With those tools, Augustin-Louis Cauchy was able to give the first rigorous and general mathematical model of a...

the right and left Cauchy–Green deformation tensors. In 1839, George Green introduced a deformation tensor known as the right Cauchy–Green deformation...

pure diffusion equation. Euler momentum equation is a Cauchy momentum equation with the Pascal law being the stress constitutive relation: σ = p I {\displaystyle...

American Studies, Chinese Academy of Social Sciences) as ordinary members, Pascal Cauchy (Institut d’Etudes Politique de Paris) as executive secretary and Marjatta...

independent of the choice of coordinate system, these governing equations are: Cauchy momentum equation, which is an expression of Newton's second law. In convective...

W{\displaystyle W\,} is a linear combination of two invariants of the left Cauchy–Green deformation tensor B{\displaystyle {\boldsymbol {B}}}. The model was...

energy density function. The hyperelastic material is a special case of a Cauchy elastic material. For many materials, linear elastic models do not accurately...