... shipbuilding industry variational techniques Accurate prediction of wave loading on vessels and their motion motions necessitates the development of a simulation framework that involves free-surface flow and fluid-structure interaction (FSI) (see, for example, Ref. [ 1 ]). The simulation framework...

... 2011 22 08 2011 22 08 2011 bending convergence of numerical methods differential algebraic equations elasticity finite element analysis iterative methods laminates variational techniques extended Kantorovich method three-dimensional elasticity angle-ply composite flat...

... boundary conditions boundary layer behavior beams (structures) bending differential equations elasticity shear deformation variational techniques 04 09 2009 18 09 2010 21 09 2010 20 12 2010 20 12 2010 It follows from Eq. 23 that the boundary conditions...

...-Standard Lagrangians for Dissipative Dynamical Systems With Variable Coefficients ,” J. Phys. A: Math. Theor. 1751-8113 , 41 , p. 055205 . 10.1088/1751-8113/41/5/055205 08 03 2010 27 07 2010 24 08 2010 22 10 2010 22 10 2010 inverse problems variational...

... ratio, creaselike surface instability occurs upon swelling. 06 08 2009 07 02 2010 05 05 2010 17 08 2010 17 08 2010 chemical equilibrium deformation finite element analysis free energy geometry hydrogels polymers swelling variational techniques hydrogel...

..., previously discounted on the basis of a flawed application of the Newton–Euler method, are verified by using Kane’s method together with a new approach for determining the directions of constraint forces. 28 06 2007 29 12 2008 09 03 2009 classical mechanics force variational...

... 2009 compressible flow Galerkin method Mach number supersonic flow variational techniques supersonic flows variable subgrid scale formulation SUPG formulation YZβ shock-capturing cylinders and spheres The streamline-upwind/Petrov–Galerkin (SUPG) formulation...

... error analysis Green's function methods variational techniques Lately much of attention of a posteriori error estimation has been placed in quantities of interest and functional outputs. Indeed, in engineering and science applications many times one is interested not just in the global...

... in the long-wave range. Moreover, it recovers the approximate three-dimensional stress state in both long- and short-wavelength ranges. elasticity laminates shells (structures) variational techniques vibrations Because laminated composite shells are increasingly being used in various...

... of sandwich structures subject to blast loading. 21 09 2007 09 03 2008 22 08 2008 compressibility detonation waves finite element analysis Laplace transforms sandwich structures shells (structures) shock wave effects structural panels variational techniques shallow...

... ratio is lacking in the literature. plates (structures) cantilevers vibrations Poisson ratio variational techniques perturbation theory 15 08 2006 24 04 2007 11 01 2008 2008 American Society of Mechanical Engineers ...

... ,” ASME J. Eng. Mater. Technol. 0094-4289 , 108 , pp. 87 – 92 . pipes internal stresses elasticity plastic deformation wear finite element analysis variational techniques Some readers may perceive a conceptual difficulty here: how can one be entirely certain...

... approaches and establishes the conditions under which identical formulations are obtained. 28 06 2006 17 07 2006 Galerkin method differential equations variational techniques elasticity deformation discontinuous Galerkin elliptic equation hyperelasticity In the last...

...-consistent field theory. 27 03 2006 31 03 2006 polymers molecular configurations variational techniques statistical analysis partial differential equations entropy SCF calculations An attempt at a detailed description of the geometrical configuration of a linear polymer...

...J. G. Simmonds carbon nanotubes shells (structures) elasticity buckling torsion Poisson ratio variational techniques I wish to point out that there are equations for the vibration (( 1 ), pp. 259–261) and buckling ( 2 ) of elastically isotropic circular cylindrical shells...

... satisfying all the afore said requisites (i–iii), to the full Newmark family. 22 09 2003 15 02 2005 integration Galerkin method variational techniques functional analysis structural engineering This work aims at giving an application to some ideas, presented...

... in the ASME JOURNAL OF APPLIED MECHANICS . 30 Jan 2002 09 May 2002 23 01 2003 buckling shear modulus mechanical stability bifurcation elastic moduli variational techniques torsion structural engineering fibre reinforced composites During the 1960s, there used...

... MECHANICS . 10 April 2001 27 September 2001 20 06 2002 shape memory effects alloys fibre reinforced composites elastic constants simulation internal stresses variational techniques intelligent materials Smart composites can be loosely defined as composites with one...

...N. G. Stephen variational techniques shear deformation In a recent article, Hutchinson 1 employed the Hellinger-Reissner variational principle to construct a beam theory of Timoshenko type, together with a new expression for the inherent shear coefficient κ, as (1) κ = − 2...

...J. R. Hutchinson shear deformation variational techniques In his most important point Professor Stephan is completely correct. That is, his shear coefficient and mine are identical. I was aware of his work when it first came out and discounted it because it was derived by solving...