Elastoplastic analysis of layered metal matrix composite cylinders. Part 1: Theory
- Univ. of Virginia, Charlottesville, VA (United States). Dept. of Civil Engineering and Applied Mechanics
An exact elastic-plastic analytical solution for an arbitrarily laminated metal matrix composite tube subjected to axisymmetric thermo-mechanical and torsional loading is presented. First, exact solutions for transversely isotropic and monoclinic (off-axis) elastoplastic cylindrical shells are developed which are then reformulated in terms of the interfacial displacements as the fundamental unknowns by constructing a local stiffness matrix for the shell. Assembly of the local stiffness matrices into a global stiffness matrix in a particular manner ensures satisfaction of interfacial traction and displacement continuity conditions, as well as the external boundary conditions. Due to the lack of a general macroscopic constitutive theory for the elastic-plastic response of unidirectional metal matrix composites, the micromechanics method of cells model is employed to calculate the effective elastic-plastic properties of the individual layers used in determining the elements of the local and thus global stiffness matrices. The resulting system of equations is then solved using Mendelson`s iterative method of successive elastic solutions developed for elastoplastic boundary-value problems. Part 1 of the paper outlines the aforementioned solution strategy. In Part 2 (Salzar et al., 1996), this solution strategy is first validated by comparison with available closed-form solutions, as well as with results obtained using the finite-element approach. Subsequently, examples are presented that illustrate the utility of the developed solution methodology in predicting the elastic-plastic response of arbitrarily laminated metal matrix composite tubes. In particular, optimization of the response of composite tubes under internal pressure is considered through the use of functionally graded architectures.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 197582
- Journal Information:
- Journal of Pressure Vessel Technology, Journal Name: Journal of Pressure Vessel Technology Journal Issue: 1 Vol. 118; ISSN JPVTAS; ISSN 0094-9930
- Country of Publication:
- United States
- Language:
- English
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