An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities
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Publication:658224
DOI10.1016/j.cma.2009.01.015zbMath1229.74157OpenAlexW2027681866MaRDI QIDQ658224
C. Vanmaele, Wim Desmet, Dirk Vandepitte
Publication date: 11 January 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2009.01.015
structural dynamicsstress singularitieswave based methodKirchhoff theorycorner functionsindirect Trefftz method
Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Plates (74K20) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)
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- An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities
- Trefftz-based methods for time-harmonic acoustics
- An efficient wave based prediction technique for plate bending vibrations
- On the stress singularities in the plane elasticity of the composite wedge
- Edge singularities in anisotropic composites
- Exact analytical solutions for free vibrations of thick sectorial plates with simply supported radial edges
- Application of an efficient wave-based prediction technique for the analysis of vibro-acoustic radiation problems
- Exact Analytical Solutions for the Vibrations of Sectorial Plates With Simply-Supported Radial Edges
- The hybrid-Trefftz finite element model and its application to plate bending
- Vibrations Of Circular Plates Having V-notches Or Sharp Radial Cracks
- An asymmetrical finite difference network
- Singularity considerations in membrane, plate and shell behaviors
