Geometric nonlinear analyses of functionally graded beams using a tailored Lagrangian formulation

DOI10.1016/j.mechrescom.2011.07.006zbMath1272.74372OpenAlexW2112186929MaRDI QIDQ366798

Juan C. R. Albino, Glaucio H. Paulino, Ivan F. M. Menezes, Carlos A. S. Almeida

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641311001479

zbMATH Keywords

geometric nonlinearitynonlinear analysisfunctionally graded materialstotal Lagrangian formulation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Inhomogeneity in solid mechanics (74E05)

Related Items (6)

Analytical solutions of Reddy, Timoshenko and Bernoulli beam models: a comparative analysis ⋮ Geometrically nonlinear static analysis of edge cracked Timoshenko beams composed of functionally graded material ⋮ Large deflection of functionally graded porous beams based on a geometrically exact theory with a fully intrinsic formulation ⋮ Thermal post-buckling and nonlinear vibration analysis of FGM beams based on physical neutral surface and high order shear deformation theory ⋮ A corotational formulation for large displacement analysis of functionally graded sandwich beam and frame structures ⋮ Nonlinear bending of elastoplastic functionally graded ceramic-metal beams subjected to nonuniform distributed loads

Cites Work

• Optimal design of periodic functionally graded composites with prescribed properties
• Layout and material gradation in topology optimization of functionally graded structures: a global-local approach
• Beam elements in instability problems
• On locking-free shear deformable beam finite elements
• A new beam finite element for the analysis of functionally graded materials.
• Effects of FGM materials on the parametric resonance of plate structures
• Wave propagation and dynamic analysis of smoothly graded heterogeneous continua using graded finite elements
• The simple boundary element method for multiple cracks in functionally graded media governed by potential theory: a three-dimensional Galerkin approach
• Three-Dimensional Solutions of Smart Functionally Graded Plates
• Finite element evaluation of mixed mode stress intensity factors in functionally graded materials
• Interfacial cracking in a graded coating/substrate system loaded by a frictional sliding flat punch

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