Framework for the reliable generation and control of analysis idealization

Abstract This paper examines the sources of idealizations commonly employed during the application of engineering analysis, and indicates the techniques available to control the errors they introduce. A framework is presented of a modeling system that can support the various levels of analysis idealization control. Methodologies for the use of such a system in the design and analysis of airframes and plane elasticity problems are discussed. Finally, comparisons of the computational efficiency of automated, adaptive analysis techniques to control the discretization error in the energy norm for plane elasticity problems are presented.

[1]  Mark S. Shephard,et al.  Approaches to the Automatic Generation and Control of Finite Element Meshes , 1988 .

[2]  Ivo Babuška,et al.  Uncertainties in Engineering Design. Mathematical Theory and Numerical Experience. , 1986 .

[3]  Barna A. Szabó,et al.  Hierarchic plate and shell models based on p-extension , 1988 .

[4]  J. Prévost.  Mechanics of continuous porous media , 1980 .

[5]  George J. Dvorak,et al.  Bounds on overall instantaneous properties of elastic-plastic composites , 1988 .

[6]  R. Plunkett,et al.  Formulas for Stress and Strain , 1965 .

[7]  William H. Frey,et al.  An apporach to automatic three‐dimensional finite element mesh generation , 1985 .

[8]  Barna A. Szabó.  Geometric idealizations in finite element computations , 1988 .

[9]  G. Strang,et al.  An Analysis of the Finite Element Method , 1974 .

[10]  Ernst Rank,et al.  An expert system for the optimal mesh design in the hp‐version of the finite element method , 1987 .

[11]  Mark S. Shephard.  Idealization in engineering modeling and design , 1990 .

[12]  Ahmed K. Noor,et al.  A posteriori estimates for shear correction factors in multilayered composite cylinders , 1989 .

[13]  Ahmed K. Noor,et al.  Assessment of computational models for multilayered composite cylinders , 1991 .

[14]  Ivo Babuška,et al.  Composites with a Periodic Structure, Mathematical Analysis and Numerical Treatment. , 1985 .

[15]  Mark S. Shephard,et al.  Toward automated finite element modeling for the unification of engineering design and analysis , 1986 .