A field-consistent, four-noded, laminated, anisotropic plate/shell element

Analysis of composite plates by a unified formulation-cell based smoothed finite element method and field consistent elements

“…The field consistency requires that the transverse shear strains and the membrane strains must be interpolated in a consistent manner. If the element has edges which are aligned with the coordinate system (x, y), the terms in shear strains (γ xz , γ yz ) are approximated by [41] by the following substitute shape functions:Ñ…”

“…Although FEM provides a general and systematic technique for constructing basis functions, a number of difficulties still exists in the development of plate elements based on shear deformation theories, one of which is the shear locking phenomena. Different techniques by which the locking phenomena can be suppressed include: (a) retain the original interpolations and use optimal integration rule [17]; (b) assumed natural strain method [1,41] and (c) enhanced assumed strain method [40]. Recently, Carrera et al, [7] employed 4-noded mixed interpolation of tensorial components (MITC) technique for multilayered plate elements.…”

Field‐ and edge‐consistency synthesis of A 4‐noded quadrilateral plate bending element

“…Field-consistency requires that the transverse shear strains must be interpolated in a consistent manner. Thus, the 8,, 8, terms in ysr and yVc must be consistent with the field functions for w,<, w,,, e t~.~,~ However, an element based only on this simple understanding of 'field-consistency' will lock if used in a distorted form. We must therefore consider how the element formulation must be further augmented with careful definitions and transformations of the shear strain quantities so that it preserves a quality which we shall call 'edge-consistency'.…”

Mechanical buckling of curvilinear fibre composite laminate with material discontinuities and environmental effects

“…The present formulation, when applied to thin plates, exhibits shear locking. In this study, field redistributed shape functions are used to alleviate the shear locking [30,31]. The field consistency requires that the transverse shear strains and the membrane strains must be interpolated in a consistent manner.…”