Expanding Hooke's law
for linear material, the total stress in a viscoelastic piezoelectric plate is:
We assume that the dependence between the tensions and deformations for the non-uniform modulus orthotropic belt corresponds to the correlations for the generalised Hooke's law
Robert Hooke's Ambiguous Presentation of "Hooke's Law
If we allow n = 1, then (1) reduces to Hooke's law
for linear elastic material and the constant K, also called the bulk modulus, equals the corresponding Young's modulus E.
Caption: FIGURE 8: Potential energy curves plotted with Morse's and Hooke's Laws
. A possible overtone transition from a lower to higher [beta] mode is shown by the arrow.
If Es is large so that the stretching deformation is small, Hooke's law
Horibe, "Robert Hooke, Hooke's Law
& the Watch Spring," 2011.
Equation (1a) is the standard version of Hooke's law
, simply stating that the applied stress is proportional to the imposed strain.
The following study explored the reasons why theoretical and intuitive physical knowledge may be congruent, as in the case of Hooke's law
and the respective intuitive-physics law.
In the opener, Hooke's law
is used to explain a pogo-stick wipeout.
Considering Hooke's law
for conditions of uniaxially-stretched core let's note
Young's modulus of PSB can be given using the Hooke's law
assuming a uniaxial stress state in the grain direction:
The final goal of the majority of the game engines is the simulation of a limited number of physic phenomena, among which the most important are the kinematics and dynamics of rigid and soft bodies, represented through Newton's laws of motion and Hooke's law
. The literature on these issues in the field of gaming is quite limited and more often oriented to practitioners or to teaching activities (see, e.g., [1, 2, 8, 11, 17, 18], etc.).