Recent content by Klaus3

There isn't anything specific, its just a continuous body subject to continuous contact and body forces, may or may not deform, but is deformable. You can see on this entrance on the wiki that its just defined that way...

I'm integrating the power equation(second equation of OP) with respect to time. There are two integrals because one is the volume/surface integral, the other is the time integral, transformed into displacement integral by ##du/dt = v; du = vdt##

Using this definition: $$ \int \int \left( Tn \cdot v dt \right)dA + \int \int \left( b \cdot v dt \right)dV $$ $$ = \int \int \left( Tn \cdot du \right)dA + \int \int \left( b \cdot du \right)dV $$ Thats still different, can you take ##T## and ##b## outside the inner integral so that ##du##...

I'm aware, but the equation on Bird chapter 3 only deals with power (it is essentially the third equation but with the splitting of the Cauchy stress tensor into deviatoric and pressure terms). My doubt is related with the definition of work itself, not with the balance of mechanical energy. By...

The definition of work and power done over a continuous body is: $$ W = \int Tn \cdot u dA + \int b \cdot u dV $$ $$ P = \int Tn \cdot v dA + \int b \cdot v dV $$ ##T## is the stress tensor, ##b## is the body force, ##u## is the displacement vector, ##v## is the velocity, ##n## is the normal...