2015
DOI: 10.1016/j.compstruct.2015.08.004
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Refined Zigzag Theory for laminated composite and sandwich plates derived from Reissner’s Mixed Variational Theorem

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Cited by 80 publications
(34 citation statements)
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“…At the very final stage of preparing of this report, the authors came across two interesting papers [50,51] related to the application of zigzag models in the analysis of multilayered plates. In the first one [50], we can find an alternative RMVT-based implementation of Tessler's zigzag functions. The second of those publications [51] contains a stimulating assessment review of various zigzag formulations.…”
Section: Discussionmentioning
confidence: 99%
“…At the very final stage of preparing of this report, the authors came across two interesting papers [50,51] related to the application of zigzag models in the analysis of multilayered plates. In the first one [50], we can find an alternative RMVT-based implementation of Tessler's zigzag functions. The second of those publications [51] contains a stimulating assessment review of various zigzag formulations.…”
Section: Discussionmentioning
confidence: 99%
“…dA. (34) Note that the transverse shear force V is included twice in the resultant vector R of Eq. 34to allow for a straightforward computational implementation.…”
Section: Stiffness Matrix and External Force Vectormentioning
confidence: 99%
“…As a result of enforcing the critical condition of equilibrated stresses, very accurate through-thickness stresses can be computed directly from the underlying model assumptions. Recently, the formulation was further extended to 2-D plates [34].…”
Section: Introductionmentioning
confidence: 99%
“…While the approaches by Ambartsumyan and Lekhnitskii rely on the exact verification of the constitutive equation connecting the transverse shear stress and the kinematic fields, Murakami [8] formulated a ZZ theory by postulating these two fields in an independent manner thanks to Reissner's mixed variational theorem (RMVT) dedicated to multilayered plates [9]. For more recent developments of RMVT-based ZZ theories, the interested reader may refer to papers by Carrera [10], Demasi [11] and Tessler [12,13]. Murakami's zig-zag function (MZZF) has been also extensively applied to classical displacement-based variable kinematics approaches, see, e.g., [14,15].…”
Section: Introductionmentioning
confidence: 99%