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In linear elasticity, the P-wave modulus M, also known as the longitudinal modulus or the constrained modulus, is one of the elastic moduli available to describe isotropic homogeneous materials.
It is defined as the ratio of axial stress to axial strain in a uniaxial strain state
where all the other strains \epsilon_{**} are zero.
This is equivalent to stating that
where V_{P} is the velocity of a P-wave.
S=\pm\sqrt{E^2+9M^2-10EM} There are two valid solutions. The plus sign leads to \nu\geq 0. The minus sign leads to \nu\leq 0.
Force, Young's modulus, Elasticity (physics), Shear modulus, Viscosity
P-adic quantum mechanics, P-factor, P-form electrodynamics, P-nuclei, P-process
Shear modulus, Isotropic, Hooke's law, Elastic modulus, Bulk modulus
Acoustics, Maxwell's equations, Radiation, Optics, Light
Hooke's law, Physics, Continuum mechanics, Force, Isaac Newton
Chemistry, Nanotechnology, Engineering, Chemical engineering, Metallurgy