In order to clarify common assumptions on the form of energy and momentum in elasticity, a generalized conservation format is proposed for finite elasticity, in which total energy and momentum are not specified a priori. Velocity, stress, and total energy are assumed to depend constitutively on deformation gradient and momentum in a manner restricted by a dissipation principle and certain mild ...

Chiral materials are not invariant to inversions: there is a distinction between rightand left-handed material. Material properties such as piezoelectricity and pyroelectricity, represented by tensors of odd rank, can only occur in chiral materials. Chiral e!ects in elasticity cannot be expressed within classical elasticity since the modulus tensor, which is fourth rank, is unchanged under an i...

When is the level of entry of buyers or sellers effi cient in markets with search and matching frictions? This paper generalizes the well-known Hosios condition for constrained effi ciency to a wide range of dynamic search and matching environments where the expected match output depends on the market tightness. The generalized Hosios condition is simple and intuitive: entry is constrained effi...

The giant protein titin, which is responsible for passive elasticity in muscle fibers, is built from approximately 300 regular immunoglobulin-like (Ig) domains and FN-III repeats. While the soft elasticity derived from its entropic regions, as well as the stiff mechanical resistance derived from the unfolding of the secondary structure elements of Ig- and FN-III domains have been studied extens...

In the present work, thermo-electro vibration of the piezoelectric nanoplates resting on the elastic foundations using nonlocal elasticity theory are considered. In-plane and transverse displacements of the nanoplate have been approximated by six different modified shear deformation plate theories considering transverse shear deformation effects and rotary inertia. Moreover, two new distributio...