1
مکانیک::
چگالی انرژی کرنشی
2.5 Strain Energy Density
Similarly, y^ is the position vector of point x^ in the deformed configuration and y^,-) is the position vector of the first material point that interacts with point X(jy The strain energy density, , of material point x^ can be expressed as a summation of micropotentials, arising from the interaction of material point
Substituting for the strain energy density, W^, of material point X(,-) from Eq. 2.8, the potential energy can be rewritten as
In light of the definition of the strain energy density function, Eq. 2.8, and the expressions for force density vectors in terms of micropotentials, Eqs. 2.17a, b, while considering the requirement on their direction, Eqs. 2.48a, b, the force density vectors can be related to the strain energy density function, W, as
The only difference in the derivation is that the expression for the strain energy density, of material point k is expressed as a summation of
واژگان شبکه مترجمین ایران