Numerical integration of structural elements in NIKE3D and DYNA3D
The beam and shell elements found in many linear elastic finite element codes accept integrated cross sectional properties as input, and produce solutions using classical beam and shell theory. These theories are built upon the equation of resultant forces and moments with integrals of assumed stress distributions over the cross section. In contrast, the structural elements in NIKE3D and DYNA3D are formulated to represent nonlinear geometric and material behavior. Thus stress distributions may not necessarily be representable by simple functions of cross section variables. In NIKE3D and DYNA3D, the Hughes-Liu beam element and all shell elements accommodate these more general stress distributions by computing stresses at various points in the cross section. The integration of stresses within each element is then performed numerically, using a variety of methods. This report describes these numerical integration procedures in detail, and highlights their application to engineering problems. Several other features of the structural elements are also described, including force and moment resultants, user-defined reference surfaces, and user-defined integration rules. Finally, the shear correction factor is described in a section which relates results from NIKE3D and DYNA3D to those obtained from classical beam theory.
- Research Organization:
- Lawrence Livermore National Lab., CA (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 10172258
- Report Number(s):
- UCRL-ID-111476; ON: DE93016325; TRN: AHC29305%%19
- Resource Relation:
- Other Information: PBD: 5 Aug 1992
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
STRUCTURAL BEAMS
N CODES
D CODES
STRESS ANALYSIS
SHELLS
MECHANICAL STRUCTURES
FINITE ELEMENT METHOD
THICKNESS
CORRECTIONS
INTEGRAL EQUATIONS
SHEAR PROPERTIES
420200
990200
FACILITIES, EQUIPMENT, AND TECHNIQUES
MATHEMATICS AND COMPUTERS