Base force element method (BFEM) on potential energy principle for elasticity problems
Source abstract
Abstract
Using the concept of base forces, the problem of the explicit tensor expression of the element stiffness matrix for a new finite element method (FEM)—the base force element method (BFEM) was studied. The mathematic model of the BFEM on potential energy principle was established by using an explicit expression. A code for the BFEM was developed using MATLAB computer language. The approach was used to solve several problems of elasticity theory, and various shape elements were compared and analyzed. The numerical results are consistent with those of the theoretical solutions, and the applicability of this approach is verified.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Elasticity and Material Modeling · Contact Mechanics and Variational Inequalities · Soil, Finite Element Methods
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References (10)
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1. Bathe, K.J.: Finite Element Procedures in Engineering Analysis. Prentice-Hall, Englewood Cliffs (1982)
2. Bathe, K.J.: Finite Element Procedures. Prentice-Hall, Englewood Cliffs (1996)
3. Cook, R.D.: Concepts and Applications of Finite Element Analysis. Wiley, New York (1981)
4. Gao, Y.C.: Foundation of Solid Mechanics. China Railway Publishing House, Beijing (1999). (in Chinese)
5. Gao, Y.C.: Analysis of the interface crack for rubber-like materials. J. Elast. 66, 1–19 (2002)10.1023/A:1020588113062 ↗
6. Gao, Y.C.: A new description of the stress state at a point with applications. Arch. Appl. Mech. 73, 171–183 (2003)10.1007/s00419-003-0278-5 ↗
7. Gao, Y.C., Chen, S.H.: Analysis of a rubber cone tensioned by a concentrated force. Mech. Res. Commun. 28, 49–54 (2001)10.1016/S0093-6413(01)00143-4 ↗
8. Gao, Y.C., Gao, T.J.: Large deformation contact of a rubber notch with a rigid wedge. Int. J. Solids Struct. 37, 4319–4334 (2000)10.1016/S0020-7683(99)00191-2 ↗
9. Timoshenko, S., Goodier, J.N.: Theory of Elasticity, 3rd edn. McGraw-Hill, New York (1970)
10. Zienkiewicz, O.C.: The Finite Element Method. McGraw-Hill, New York (1977)