M. Olsson et al., ELASTOPLASTIC ANALYSIS OF THERMAL CYCLING - CERAMIC PARTICLES IN A METALLIC MATRIX, Journal of the mechanics and physics of solids, 43(10), 1995, pp. 1639-1671
Elastoplastic deformation induced by the thermal cycling of a particle
-reinforced metal is studied analytically and numerically. The represe
ntative volume element considered for analysis is a spherical ceramic
particle embedded within a hollow sphere of the metallic matrix. Close
d-form solutions are derived for four characteristic temperatures whic
h signify certain critical conditions for the onset and spread of plas
ticity in the composite during thermal fluctuations. These conditions
are then evaluated for a wide variety of commonly studied metal-cerami
c composites. The effective coefficient of thermal expansion is derive
d and is shown to be in agreement with finite element results obtained
for an Al-SiC composite. Numerical simulations addressing plastic str
ain accumulation and interfacial decohesion during thermal cycling are
also discussed with tile objective of providing some guidelines for t
he estimation of thermal fatigue life.