Analysis of thermo-elastic plates based on Reissner’s mixed variational theorem

2011 ◽  
Vol 93 (2) ◽  
pp. 590-598 ◽  
Author(s):  
S.S. Phoenix ◽  
B.N. Singh ◽  
S.K. Satsangi
Keyword(s):  
Elastic Plates ◽  
Variational Theorem ◽  
Reissner’S Mixed Variational Theorem

scholarly journals Reissner’s mixed variational theorem toward MITC finite elements for multilayered plates

2013 ◽  
Vol 99 ◽  
pp. 443-452 ◽  
Author(s):  
Claudia Chinosi ◽  
Maria Cinefra ◽  
Lucia Della Croce ◽  
Erasmo Carrera
Keyword(s):  
Finite Elements ◽  
Variational Theorem ◽  
Multilayered Plates ◽  
Reissner’S Mixed Variational Theorem

Reissner’s Mixed Variational Theorem for Layer-Wise Refined Beam Models Based on the Unified Formulation

2017 ◽  
Author(s):  
Erasmo Carrera ◽  
Alberto García de Miguel ◽  
Alfonso Pagani ◽  
Enrico Zappino
Keyword(s):  
Cross Section ◽  
Ad Hoc ◽  
Cross Sectional ◽  
Variational Theorem ◽  
Carrera Unified Formulation ◽  
Reissner’S Mixed Variational Theorem ◽  
The Cross ◽  
Transverse Stresses ◽  
Accurate Stress Analysis ◽  
Laminated Materials

The present paper proposes the application of the Reissners Mixed Variational Theorem (RMVT) for the accurate stress analysis of general multi-layered beam problems. Laminated materials usually differ from homogeneous materials in that they exhibit much higher transverse shear and transverse normal deformabilities. These characteristics, and others such as the Transverse Anisotropy (TA) and the Interlaminar Continuity of transverse stresses (IC), make Classical Laminated Theories (CLT) inappropriate for the analysis of multi-layered structures. The Carrera Unified Formulation (CUF) sets a framework in which classical-to-refined beam models can be generated by expanding the unknown variables over the cross-sectional domain by means of arbitrary functions. A LW expansion is adopted for both displacements and transverse stresses over the cross-section section domain. In this manner, the ZZ condition is automatically satisfied through the use of independent kinematics for each layer in a LW sense, with no need of introducing ad-hoc ZZ functions.

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