A unified formulation for composite quasi-3D elements based on global–local superposition. Part II: Implementation and numerical assessment

This two-paper series proposes a unified theory that gives rise to a family of quasi-3D composite elements. The first paper presents the element formulation and its basic capabilities: the ability to capture transverse normal ( σ z ) and shear ( τ yz , τ xz ) stresses, suitability for thermoelastic...

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Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering 2022-11, Vol.44 (11), Article 531
Main Author: de Faria, Alfredo R.
Format: Article
Language:English
Subjects:
Adequacy
Boundary conditions
Engineering
Equilibrium equations
Interpolation
Laminates
Mathematical analysis
Mechanical Engineering
Stresses
Technical Paper
Three dimensional composites
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Summary:This two-paper series proposes a unified theory that gives rise to a family of quasi-3D composite elements. The first paper presents the element formulation and its basic capabilities: the ability to capture transverse normal ( σ z ) and shear ( τ yz , τ xz ) stresses, suitability for thermoelastic analyses and compliance to both displacements and transverse stress continuity requirements. These capabilities are inherent to the element since a global–local superposition approach is devised that, from inception, guarantees that equilibrium equations, continuity consistency and boundary conditions are fully met. A simple validation analysis was conducted in part I that initially pointed to a very promising direction with high numerical efficiency of the element. This second paper investigates the element numerical performance under different scenarios: use of three- and four-node parent elements, degree of global interpolation functions, adequacy of different local interpolation functions ( F 0 , F 1 , G 0 , G 1 , H 0 , H 1 ) and consideration of a more practical configuration of a reinforced panel consisting of multiple laminates. Through-the-thickness displacements, strains and stresses are obtained and shown to be of reasonable accuracy. Results are compared against a highly refined mesh of 3D brick elements implemented in a commercial software that provide a benchmark for the elements capabilities.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-022-03829-9