P-wave modulus
Encyclopedia
In linear elasticity
, the P-wave modulus
, also known as the longitudinal 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
are zero.
This is equivalent to stating that
where VP is the velocity of a P-wave
.
Linear elasticity
Linear elasticity is the mathematical study of how solid objects deform and become internally stressed due to prescribed loading conditions. Linear elasticity models materials as continua. Linear elasticity is a simplification of the more general nonlinear theory of elasticity and is a branch of...
, the P-wave modulus
, also known as the longitudinal modulus, is one of the elastic moduli available to describe isotropic homogeneous materials.It is defined as the ratio of axial stress
Stress (physics)
In continuum mechanics, stress is a measure of the internal forces acting within a deformable body. Quantitatively, it is a measure of the average force per unit area of a surface within the body on which internal forces act. These internal forces are a reaction to external forces applied on the body...
to axial strain
Strain (materials science)
In continuum mechanics, the infinitesimal strain theory, sometimes called small deformation theory, small displacement theory, or small displacement-gradient theory, deals with infinitesimal deformations of a continuum body...
in a uniaxial strain state
where all the other strains
are zero.This is equivalent to stating that
where VP is the velocity of a P-wave
P-wave
P-waves are a type of elastic wave, also called seismic waves, that can travel through gases , solids and liquids, including the Earth. P-waves are produced by earthquakes and recorded by seismographs...
.