Properties and response of composite material with spheroidal superelastic shape memory alloy inclusions subject to three-dimensional stress state

• Published in: Journal of physics. D, Applied physics Vol. 43; no. 22; p. 225402
• Main Author: Birman, Victor
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 09.06.2010; Institute of Physics
• Subjects: Applied sciences; Composite materials; Cross-disciplinary physics: materials science; rheology; Dispersion hardening metals; Elasticity. Plasticity; Exact sciences and technology; Fibres; Homogenizing; Hysteresis; Inclusions; Martensitic transformations; Materials science; Mathematical analysis; Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology; Metals. Metallurgy; Phase diagrams and microstructures developed by solidification and solid-solid phase transformations; Physics; Powder metallurgy. Composite materials; Production techniques; Shape memory alloys; Stresses; Superelasticity; Titanium alloy; Elastic modulus; Volume fraction; Metal matrix composite; Stress strain relation; Stress tensor; Aluminium; Composite material; Dispersion strengthened metal; Phenomenological model; Shape memory alloy; Superelasticity; Energy dissipation; Transition metal alloy; Martensitic transformation; Stiffness; Mechanical hysteresis; Nickel alloy
• ISSN: 0022-3727; 1361-6463
• DOI: 10.1088/0022-3727/43/22/225402

This communication illustrates the method of evaluation of the stiffness tensor and the stress–strain relationship of a particulate composite material with randomly distributed spheroidal superelastic shape memory alloy (SMA) inclusions that is subject to three-dimensional stresses. The Mori–Tanaka homogenization technique in conjunction with the Tanaka phenomenological SMA theory is applied to develop relations between the properties of the composite material and the applied stresses. In addition, the composite stress–strain loop reflecting hysteresis within the SMA material is generated. It is shown that the energy dissipation within a metal matrix composite with spherical SMA inclusions is comparable to that observed in composites with SMA fibres. The solution is exact within the framework of the assumptions of the Mori–Tanaka and phenomenological SMA theories.