A laminated composite plate finite element a-priori corrected for locking

Filho, João Elias Abdalla; Belo, Ivan Moura; Pereira, Michele Schunemann

doi:10.12989/sem.2008.28.5.603

Cited by 4 publications

(1 citation statement)

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“…Parasitic shear terms are spurious terms that appear in the shear strain expressions of certain elements. It has been demonstrated both theoretically and numerically that the presence of parasitic shear in the shear strain expressions causes stiffening of the model by increasing the element's shear strain energy when bending occurs (Abdalla Filho, Belo, & Pereira, 2008). This erroneous behavior of the model is known as shear locking (Dow & Byrd, 1988).…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis employing strain gradient notation four-node plane elements and considering the effects of parasitic shear

Bortoli,

Abdalla Filho

2024

Acta Sci Technol

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In this work, plane stress free vibration is performed using four-node elements formulated using strain gradient notation. Accurate results are sought, and the effects of parasitic shear are investigated. By applying strain gradient notation, which is a physically interpretable notation, parasitic shear terms are identified a priori in the shear strain expressions of the four-node plane element. Parasitic shear is the source of shear locking in that element, and the a priori removal of the parasitic shear terms corrects the element for locking. Several studies in the literature show that this modeling error causes improper behavior of the element in bending, which affects the computed results of stress and displacements of the structure. Based on this, this work applies strain gradient notation to examine the effects of parasitic shear on the natural frequencies and corresponding mode shapes of plane stress structures. The results are compared with literature results, and with the isoparametric FEM formulation modeled by ANSYS software. It is observed that parasitic shear has a higher preponderance in coarse meshes of flexural vibration modes. Furthermore, the deleterious effects are emphasized as bending deformation becomes more important in the model. Strain gradient notation shows advantages in the numerical aspect and successfully eliminates the parasitic shear terms from the four-node element. The problems studied here display accurate results.

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Section: Introductionmentioning

confidence: 99%