TY - JOUR
T1 - Theory of indentation on multiferroic composite materials
AU - Chen, Weiqiu
AU - Pan, Ernian
AU - Wang, Huiming
AU - Zhang, Chuanzeng
PY - 2010/10
Y1 - 2010/10
N2 - This article presents a general theory on indentation over a multiferroic composite half-space. The material is transversely isotropic and magneto-electro-elastic with its axis of symmetry normal to the surface of the half-space. Based on the corresponding half-space Green's functions to point sources applied on the surface, explicit expressions for the generalized pressure vs. indentation depth are derived for the first time for the three common indenters (flat-ended, conical, and spherical punches). The important multiphase coupling issue is discussed in detail, with the weak and strong coupling being correctly revisited. The derived analytical solutions of indentation will not only serve as benchmarks for future numerical studies of multiphase composites, but also have important applications to experimental test and characterization of multiphase materials, in particular, of multiferroic properties.
AB - This article presents a general theory on indentation over a multiferroic composite half-space. The material is transversely isotropic and magneto-electro-elastic with its axis of symmetry normal to the surface of the half-space. Based on the corresponding half-space Green's functions to point sources applied on the surface, explicit expressions for the generalized pressure vs. indentation depth are derived for the first time for the three common indenters (flat-ended, conical, and spherical punches). The important multiphase coupling issue is discussed in detail, with the weak and strong coupling being correctly revisited. The derived analytical solutions of indentation will not only serve as benchmarks for future numerical studies of multiphase composites, but also have important applications to experimental test and characterization of multiphase materials, in particular, of multiferroic properties.
KW - Half-space Green's functions
KW - Indentation
KW - Magneto-electro-elastic
KW - Multiferroic composite
KW - Transverse isotropy
UR - http://www.scopus.com/inward/record.url?scp=79952843058&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2010.07.012
DO - 10.1016/j.jmps.2010.07.012
M3 - Article
AN - SCOPUS:79952843058
SN - 0022-5096
VL - 58
SP - 1524
EP - 1551
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 10
ER -