Results 71 to 80 of about 3,671 (216)

A Thefftz patch recovery method for smooth stress resultants and applications to Reissner-Mindlin equilibrium plate models

open access: yesComputer Assisted Methods in Engineering and Science, 2023
A method is proposed for smoothing approximate fields of stress-resultants in patches of finite elements. The method is based on combining Trefftz fields of stress-resultants in a p-version so as to obtain a closest fit using the strain energy norm as a
Edward A.W. Maunder
doaj  

Curved Three‐Director Cosserat Shells with Strong Coupling

open access: yesComputer Graphics Forum, Volume 43, Issue 8, December 2024.
Abstract Continuum‐based shell models are an established approach for the simulation of thin deformables in computer graphics. However, existing research in physically‐based animation is mostly focused on shear‐rigid Kirchhoff‐Love shells. In this work we explore three‐director Cosserat (micropolar) shells which introduce additional rotational degrees ...
F. Löschner   +3 more
wiley   +1 more source

Mother Operators and their Descendants

open access: yes, 2014
A mechanism deriving new well-posed evolutionary equations from given ones is inspected. It turns out that there is one particular spatial operator from which many of the standard evolutionary problems of mathematical physics can be generated by this ...
Bertram   +5 more
core   +1 more source

Hybrid equilibrium plate elements of high degree

open access: yesComputer Assisted Methods in Engineering and Science, 2023
This paper concerns the modelling of plate bending problems governed by Reissner-Mindlin theory when hybrid equilibrium elements of high polynomial degree are used.
Edward A.W. Maunder
doaj  

A General Ritz Algorithm for Static Analysis of Arbitrary Laminated Composite Plates using First Order Shear Deformation Theory

open access: yesThe Journal of Engineering Research, 2013
This paper is concerned with the bending of laminated composite plates with arbitrary lay-up and general boundary conditions. The analysis is based on the small deflection, first-order shear deformation theory of composite plates, which utilizes the ...
RF Rango, FJ Bellomo, LG Nallim
doaj   +1 more source

A locking-free quadratic nurbs-based isogeometric formulation for plates analysis

open access: yesHo Chi Minh City Open University Journal of Science - Engineering and Technology, 2012
A new Reissner-Mindlin plate formulation based on a quadratic NURBS-based isogeometric is presented. In order to avoid the transverse shear locking and to improve the accuracy of the present formulation, the quadratic NURBS-based isogeometric is ...
Thai Hoang Chien   +2 more
doaj  

Decay energy for Reissner-Mindlin-Timoshenko system with delays terms

open access: yesJournal of Inequalities and Applications
This article explores the asymptotic behavior of solutions to the Reissner-Mindlin-Timoshenko system, incorporating frictional dissipation and delay terms in the rotation angles. Using semigroup theory, we first establish the well-posedness of the system.
Chahrazed Messikh   +3 more
doaj   +1 more source

A projection‐based quaternion discretization of the geometrically exact beam model

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 125, Issue 20, 30 October 2024.
Abstract In the present work the geometrically exact beam model is formulated in terms of unit quaternions. A projection‐based discretization approach is proposed which is based on a normalization of the quaternion approximation. The discretization relies on NURBS shape functions and, alternatively, on Lagrangian interpolation.
Paul Wasmer, Peter Betsch
wiley   +1 more source

Assessment of Theories for Free Vibration Analysis of Homogeneous and Multilayered Plates

open access: yesShock and Vibration, 2004
This paper assesses classical and advanced theories for free vibrational response of homogeneous and multilayered simply supported plates. Closed form solutions are given for thick and thin geometries.
Erasmo Carrera
doaj   +1 more source

A posteriori error estimate for Reissner-Mindlin plates: verification of implementations and numerical testing

open access: yesSt. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019
Work is devoted to analysis of a posteriori error estimate for accuracy control of approximate solutions for problems of Reissner-Mindlin plates bending.
Kiselev Kirill   +2 more
doaj   +1 more source

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