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Accession Number ADA584242
Title Nonlinear Finite Element Framework for Viscoelastic Beams Based on the High-Order Reddy Beam Theory.
Publication Date Jun 2012
Media Count 33p
Personal Author G. S. Payette J. N. Reddy
Abstract A weak form Galerkin finite element model for the nonlinear quasi- static and fully transient analysis of initially straight viscoelastic beams is developed using the kinematic assumptions of the third-order Reddy beam theory. The formulation assumes linear viscoelastic material properties and is applicable to problems involving small strains and moderate rotations. The viscoelastic constitutive equations are efficiently discretized using the trapezoidal rule in conjunction with a two-point recurrence formula. Locking is avoided through the use of standard low order reduced integration elements as well through the employment of a family of elements constructed using high polynomial-order Lagrange and Hermite interpolation functions.
Keywords Beams(Structural)
Constitutive equations
Finite element analysis
Galerkin method
Reddy beam theory
Viscoelastic beams

Source Agency Non Paid ADAS
NTIS Subject Category 72B - Algebra, Analysis, Geometry, & Mathematical Logic
44G - Environmental & Occupational Factors
89D - Structural Analyses
46E - Structural Mechanics
Corporate Author Texas A and M Univ., College Station. Dept. of Mechanical Engineering.
Document Type Journal article
Title Note Journal article.
NTIS Issue Number 1402
Contract Number FA-9550-09-1-0686

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