A CRITICAL EVALUATION OF VARIOUS NONLINEAR BEAM FINITE ELEMENTS Academic Article

abstract

• The characteristics of interdependent interpolation and mixed interpolation nonlinear beam finite elements are investigated in comparison with the equal-order interpolation element with uniform reduced integration. The stiffness matrix of the 3-noded and 4-noded equal order interpolation elements is identical to that of the 2-noded interdependent interpolation element if the internal nodal degrees-of-freedom are eliminated. The extension of the latter to include nonlinear kinematics by approximating the extensional displacement and the twist rotation with quadratic and cubic Lagrange polynomials yields unsatisfactory results. The 2-noded, 3-noded, and 4-noded mixed interpolation elements using one-, two-, and three-point quadrature rules, respectively, are shown to be equivalent to the corresponding uniform interpolation elements employing the same quadrature rules. The equivalence is established in the framework of nonlinear kinematics and anisotropic couplings.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS

author list (cited authors)

• Laulusa, A., & Reddy, J. N.

citation count

• 0

complete list of authors

• Laulusa, A||Reddy, JN

publication date

• December 2012

publisher

• World Scientific Publishing  Publisher

published in

• International Journal of Computational Methods  Journal

keywords

• Finite Element Analysis
• Interdependent Interpolation
• Kinematic Nonlinearity
• Mixed Interpolation
• Reduced Integration
• Uniform Interpolation

Digital Object Identifier (DOI)

• 10.1142/s0219876212500454

start page

• 1250045

end page

• 1250045

volume

• 9

issue

• 4

URL

• http://dx.doi.org/10.1142/s0219876212500454