Articles with "weak form" as a keyword



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Weak‐form element differential method for solving mechanics and heat conduction problems with abruptly changed boundary conditions

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Published in 2020 at "International Journal for Numerical Methods in Engineering"

DOI: 10.1002/nme.6379

Abstract: Element differential method (EDM), as a newly proposed numerical method, has been applied to solve many engineering problems because it has higher computational efficiency and it is more stable than other strong‐form methods. However, due… read more here.

Keywords: differential method; form; mechanics; method ... See more keywords
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Geometrically nonlinear dynamic analysis of FG-CNTRC plates subjected to blast loads using the weak form quadrature element method

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Published in 2019 at "Composite Structures"

DOI: 10.1016/j.compstruct.2018.11.009

Abstract: Abstract Geometrically nonlinear dynamic analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) rectangular plates subjected to blast loads is conducted based on Reddy’s higher-order shear deformation theory using the weak form quadrature element method.… read more here.

Keywords: quadrature element; geometrically nonlinear; form quadrature; cntrc plates ... See more keywords
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A novel weak form three-dimensional quadrature element solution for vibrations of elastic solids with different boundary conditions

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Published in 2018 at "Finite Elements in Analysis and Design"

DOI: 10.1016/j.finel.2017.11.005

Abstract: Abstract Three-dimensional (3D) vibration behavior of elastic parallelepipeds, including beams, plates, and solids, is critical for a wide range of engineering applications. However, obtaining accurate 3D solutions of parallelepipeds is a relatively challenging task. In… read more here.

Keywords: three dimensional; boundary conditions; quadrature element; weak form ... See more keywords
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A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: Clamped rectangular incompressible elastic plates

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Published in 2021 at "Mathematics and Mechanics of Solids"

DOI: 10.1177/10812865211025583

Abstract: In this paper, we derive the weak form for clamped plates composed of incompressible neo-Hookean material from the uniformly valid asymptotic plate theory. By using the finite-element software COMSOL, we study the numerical solutions of… read more here.

Keywords: valid asymptotic; weak form; plate; uniformly valid ... See more keywords