TOPICS
Search

Navier's Equation


The Navier equation describes a displacement field in a homogeneous medium in isotropic linear elasticity. In the absence of body forces, it is

 (lambda+2mu)del (del ·u)-mudel x(del xu)=rho(partial^2u)/(partialt^2),

where mu and lambda are elastic constants, u is the displacement field, and rho is the mass density. The static case is the constant-coefficient isotropic elasticity system.


See also

Isotropic Elasticity System, Navier-Stokes Equations

Explore with Wolfram|Alpha

References

Eringen, A. C. and Suhubi, E. S. Ch. 5 in Elastodynamics, Vol. 2. New York: Academic Press, 1975.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 139, 1997.

Referenced on Wolfram|Alpha

Navier's Equation

Cite this as:

Weisstein, Eric W. "Navier's Equation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NaviersEquation.html

Subject classifications