Results 241 to 250 of about 1,347,601 (289)

Phase-Field Damage Modeling of Electromechanical Fracture in MEMS Piezoelectric Films. [PDF]

Materials (Basel)
Chen X, Zhang Y, Xue Y, Shi Y, Cheng J.
europepmc   +1 more source

Some of the next articles are maybe not open access.

Related searches:

A Variational Complex for Difference Equations

Foundations of Computational Mathematics, 2004
The authors state and prove an analogue of the Poincaré lemma for exact forms on a lattice. From the results, a variational complex for difference equations is constructed and, furthermore, it is proved to be locally exact. In order to calculate the Lagrangians for discrete Euler-Lagrange systems, homotopy maps are applied.
Peter E. Hydon, Elizabeth L. Mansfield
openaire   +3 more sources

Kinetic Equations and Variational Principles

SIAM Journal on Numerical Analysis, 1981
The paper presents a method of symmetrization of the time-dependent neutron transport equation by which the original problem and its adjoins are reduced to one self-adjoins problem. For the latter, a variational principle based on minimization of the quadratic functional is formulated. A study is made of some properties of the problem’
Marchuk, G. I., Agoshkov, V. I.
openaire   +2 more sources

A variational principle for the equations of viscopiezoelectricity

IEEE Ultrasonics Symposium, 2004, 2005
The three-dimensional equations of linear viscopiezoelectricity and an accompanying electromechanical energy theorem are deduced, by the quasielectrostatic approximation, from the equations of viscoelectromagnetism and a generalized Poynting's theorem, respectively. For a viscopiezoelectric solid of volume V and bounding surface S, the internal energy,
Peter C Y, Lee, Nicholas P, Edwards
openaire   +2 more sources

A variational approach to Liouville equations

Bollettino dell'Unione Matematica Italiana, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Minimax Inequalities and Variational Equations

2019
In this paper we study some weak conditions guaranteeing the validity of several minimax inequalities and illustrate the possibilities of such a tool for characterizing the existence of solutions of certain variational equations.
Maria Isabel Berenguer, Domingo Gámez, A. I. Garralda Guillem, Manuel Ruiz Galán   +3 more
openaire   +2 more sources

Variational Solution of Integral Equations

IEEE Transactions on Microwave Theory and Techniques, 1974
A variational solution of the Fredholm integral equation of the first kind resulting from Laplace's equation with Dirichlet boundary conditions is discussed. Positive-definiteness of the integral operator is used to guarantee convergence. The square parallel plate capacitor is given as an example with several different types of trial functions. Special
McDonald, Bruce H., Friedman, Menahem, Wexler, Alvin   +2 more
openaire   +2 more sources

Constants of motion and the variational equations

Physical Review Letters, 1985
For field equations of Hamiltonian form the relation between constants of motion and solutions of the linearized equation is discussed. A known result is that the Poisson bracket of a constant of motion with the field variable solves the linearized equation.
openaire   +2 more sources