Results 31 to 40 of about 18,872 (309)

Variational formulations for non-linear problems with independent rotational degrees of freedom

Инженерно-строительный журнал, 2015
We consider the geometrically and physically nonlinear theory of elastic rods (Cosserat – Timoshenko rods) and the elastic Cosserat medium. These theories consider independent translational and rotational degrees of freedom.
V.V. Lalin, E.V. Zdanchuk, D.A. Kushova, L.A. Rozin   +3 more
doaj   +1 more source

A variational formulation of the polarizable continuum model [PDF]

The Journal of Chemical Physics, 2010
Continuum solvation models are widely used to accurately estimate solvent effects on energy, structural and spectroscopic properties of complex molecular systems. The polarizable continuum model (PCM) is one of the most versatile among the continuum models because of the variety of properties that can be computed and the diversity of methods that can ...
Lipparini, Filippo, Scalmani, Giovanni, Mennucci, Benedetta, Cancès, Eric, Caricato, Marco, Frisch, Michael J.   +5 more
openaire   +3 more sources

Fractional variational problems with the Riesz-Caputo derivative [PDF]

, 2012
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Almeida, Ricardo, Ricardo Almeida   +2 more
core   +2 more sources

A posteriori error covariances in variational data assimilation [PDF]

, 2009
The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find some unknown parameters of the model.
Le Dimet, F.X., Gejadze, Igor, Gejadze, I.Y., Shutyaev, Victor P., Russian Foundation for Basic Research (Funder), Le Dimet, François-Xavier, Gejadze, I.Yu., MOISE Project (Funder), Scottish Funding Council via GRPE (Funder), Shutyaev, V., , Scottish Funding Council via GRPE (Funder), Shutyaev, V.P., , Russian Foundation for Basic Research (Funder), , MOISE Project (Funder)   +13 more
core   +1 more source

A Class of Quasistatic Contact Problems for Viscoelastic Materials with Nonlocal Coulomb Friction and Time-Delay

Mathematical Modelling and Analysis, 2014
In this paper, a mathematical model which describes the explicit time dependent quasistatic frictional contact problems is introduced and studied. The material behavior is described with a nonlinear viscoelastic constitutive law with time-delay and the ...
Si-sheng Yao, Nan-jing Huang
doaj   +1 more source

An adaptive finite element approximation of a generalized Amrosio-Tortorelli functional [PDF]

, 2012
The Francfort–Marigo model of brittle fracture is posed in terms of the minimization of a highly irregular energy functional. A successful method for discretizing the model is to work with an approximation of the energy.
Ortner, C., Christoph Ortner, Burke, S., Burke, S, Sueli, E, Süli, E, Ortner, Christoph, Ortner, C, Siobhan Burke, Süli, Endre, Endre Süli, Burke, Siobhan   +11 more
core   +1 more source

Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation

Journal of Applied Mathematics, 2007
The three-dimensional linearized theory of elastodynamics mathematical formulation of the forced vibration of a prestretched plate resting on a rigid half-plane is given. The variational formulation of corresponding boundary-value problem is constructed.
M. Eröz, A. Yildiz
doaj   +1 more source

Continuous and discrete Clebsch variational principles [PDF]

, 2009
18.02.14 Kb.
Cotter, CJ, Holm, DD
core   +1 more source

Multisymplectic formulation of fluid dynamics using the inverse map [PDF]

, 2007
13.02.14 KB. Ok to add accepted version to spiral, embargo expired. RS policyWe construct multisymplectic formulations of fluid dynamics using the inverse of the Lagrangian path map.
Cotter, CJ, Hydon, PE, Holm, D D, Holm, DD, Cotter, C J, Hydon, Peter E   +5 more
core   +1 more source

Reissner's Mixed Variational Theorem toward MITC finite elements for multilayered plates [PDF]

, 2013
In this paper, we analyze a two dimensional model of multilayered plates for which the main interest is to study the mechanical and physical properties, that may change in the thickness direction.
Maria Cinefra, DELLA CROCE L, CINEFRA M, CHINOSI, Claudia, Chinosi, C., Della Croce L., Claudia Chinosi, CARRERA E., Cinefra M., Lucia Della Croce, Chinosi C., DELLA CROCE, LUCIA, Erasmo Carrera, Cinefra, Maria, Della Croce, L., Carrera, Erasmo   +15 more
core   +1 more source