Elastoplastic analysis of layered metal matrix composite cylinders. Part 1: Theory

Journal Article · Thu Feb 01 04:00:00 EST 1996 · Journal of Pressure Vessel Technology

DOI:https://doi.org/10.1115/1.2842155· OSTI ID:197582

Salzar, R S; Pindera, M J; Barton, F W ^[1]

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1. 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

Related Subjects

36 MATERIALS SCIENCE
42 ENGINEERING
ANALYTICAL SOLUTION
COMPOSITE MATERIALS
DYNAMIC LOADS
ELASTICITY
MATHEMATICAL MODELS
PLASTICITY
PRESSURE DEPENDENCE
RESPONSE FUNCTIONS
TEMPERATURE DEPENDENCE
TUBES