TY - JOUR
T1 - Asymptotic analysis of hierarchical martensitic microstructure
AU - Cesana, Pierluigi
AU - Porta, Marcel
AU - Lookman, Turab
N1 - Funding Information:
We acknowledge support from the Department of Energy National Nuclear Security Administration under Award Number DE-FC52-08NA28613 . P.C. is grateful to Los Alamos National Laboratory for its kind hospitality. P.C. was partially supported by the European Research Council under the European Union׳s Seventh Framework Programme ( FP7/2007-2013 ) – ERC grant agreement No. 291053 . Part of this work has been written when P.C. was a postdoctoral student at California Institute of Technology. The authors are grateful with Kaushik Bhattacharya, Richard James and Angkana Ruland for several discussions at various stages of the work.
Publisher Copyright:
© 2014 Elsevier Ltd.
PY - 2014/12/1
Y1 - 2014/12/1
N2 - We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly compute the energy cost and associated displacement field within linearized elasticity by enforcing geometric compatibility of strains across interfaces of the three-phase mixture of distortions (variants) in the microstructure. We prove that the mechanical deformation is purely elastic and discuss the behavior of the system close to the origin.
AB - We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly compute the energy cost and associated displacement field within linearized elasticity by enforcing geometric compatibility of strains across interfaces of the three-phase mixture of distortions (variants) in the microstructure. We prove that the mechanical deformation is purely elastic and discuss the behavior of the system close to the origin.
UR - http://www.scopus.com/inward/record.url?scp=84908404736&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84908404736&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2014.08.001
DO - 10.1016/j.jmps.2014.08.001
M3 - Article
AN - SCOPUS:84908404736
SN - 0022-5096
VL - 72
SP - 174
EP - 192
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
ER -