A stabilized MITC element for accurate wave response in Reissner-Mindlin plates

Computers and Structures

Volumn 80, Issue 9-10, 2002, Pages 769-789

  Thompson, Lonny L ^a   Thangavelu, Sri Ramkumar ^a  

^a AMRL   (United States)

Author keywords

Finite element methods; Mixed interpolation; Plate elements; Reissner Mindlin plates; Shell elements

Indexed keywords

FINITE ELEMENT METHOD; HARMONIC ANALYSIS; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; VARIATIONAL TECHNIQUES; WAVE PROPAGATION;

HARMONIC WAVE RESPONSE;

PLATES (STRUCTURAL COMPONENTS);

EID: 0036544060     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(02)00046-9     Document Type: Article

References (52)

1. A stabilized MITC finite element for accurate wave response in Reissner-Mindlin plates
2. Vibrations of elastic structural members
3. On the theory of bending of elastic plates
4. The effect of transverse shear deformation on the bending of elastic plates
5. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates
6. Reduced and selective integration techniques in the finite element analysis of plates
7. Finite elements based on Mindlin plate theory with particular reference to the four-node bilinear isoparametric element
8. A four node plate bending element based on Mindlin-Reissner plate theory and mixed interpolation
9. Field- and edge-consistency synthesis of a 4-noded quadrilateral plate bending element
10. An assumed-stress Hybrid-node shell element with drilling degrees of freedom
11. Direct formulation of a hybrid 4-node shell element with drilling degrees of freedom
12. A negative-norm least squares method for Reissner-Mindlin plates
13. On the convergence of a four-node plate bending element based on Mindlin/Reissner plate theory and mixed interpolation
14. A simplified analysis of two plate bending elements - The MITC4 and MITC9 elements
15. Displacement and stress convergence of our MITC plate bending elements
16. On the variational foundations of assumed strain methods
17. A mixed finite element method formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces
18. Analysis of some low-order finite element schemes for Mindlin-Reissner and Kirchhoff plates
19. A uniformly accurate finite element method for the Reissner-Mindlin plate
20. Error analysis of mixed-interpolated elements for Reissner-Mindlin plates
21. On mixed finite element methods for Reissner-Mindlin plate models
22. Quadrilateral finite elements for analysis of thick and thin plates
23. Analysis of a linear-linear finite element for the Reissner-Mindlin plate model. Math
24. The stabilized MITC plate bending elements
25. Error estimation for plate structures: Application using the DKT element
26. Hybrid least squares finite element methods for Reissner-Mindlin plates
27. Hybrid least squares finite element methods for Reissner-Mindlin plates
28. Dispersion analysis of stabilized finite element methods for acoustic fluid interaction with Reissner-Mindlin plates
29. A new finite element formulation for computational fluid dynamics: VIII. The Galerkin least squares method for advective-diffusive equations
30. A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations
31. The Galerkin gradient least-squares method
32. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
33. Variational multiscale method - A paradigm for computational mechanics
34. Finite element methods for the Helmholtz equation in an exterior domain: Model problems
35. Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
36. A Galerkin least squares finite element method for the two-dimensional Helmholtz equation
37. Recent developments in finite element methods for structural acoustics
38. A residual-based finite element method for the Helmholtz equation
39. Finite element analysis of acoustic scattering
40. A two-level finite element method and its application to the Helmholtz equation
41. Galerkin generalized least squares methods for Timoshenko beams
42. Complex wave number Fourier analysis of the p-version finite element method
43. A mixed finite element method for second order elliptic problems
44. The displacement-type finite element approach - From art to Science
45. Field-consistency approach to plate elements
46. Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation
47. Spurious reflection of elastic waves in nonuniform finite element grids