TY  - CHAP
EP  - 1822
T2  - COMPDYN 2011: Computational methods in structural dynamics and earthquake engineering, 3rd international thematic conference
ID  - eprints2525
N1  - COMPDYN 2011: III ECCOMAS Thematic Conference on
Computational Methods in Structural Dynamics and Earthquake Engineering, Corfu, Greece, 25?28 May 2011
UR  - http://eprints.imtlucca.it/2525/
AV  - none
TI  - High continuity second-order homogenization of in-plane loaded periodic masonry
Y1  - 2011///
KW  - Masonry
KW  -  Second-order homogenization
KW  -  Boundary layer effects
KW  -  Dispersive waves
KW  -  Material characteristic length
N2  - In this paper the second-order homogenization of periodic masonry based on a
computational analysis of the unit cell representative of the masonry wall is derived. The
multi-scale approach is based on an appropriate representation of the micro-displacement
field as the superposition of a local macroscopic displacement field, represented in a polynomial
form related to the macro-displacement field, and an unknown micro-fluctuation field
accounting for the effects of the heterogeneities. By this approach a continuous microdisplacement
field is obtained, i.e. in each unit cell and across the interfaces between adjacent
unit cells. The computational procedure is applied in two steps: the first one corresponds
to the standard homogenization, while the second step is a second-order homogenization
based on the results of the first step. Two numerical examples are presented concerning running
bond and English bond masonry. For both the masonry patterns the overall elastic
moduli of the second-order model and the corresponding characteristic lengths are obtained;
the effects on the characteristic lengths of the stiffness mismatch between the brick phase and
the mortar phase are considered. Moreover, the wave propagation in the homogenized medium
is considered and dispersive waves are obtained. It is shown that remarkable differences
in the phase and group velocities between the first-order and the second-order homogenized
models are obtained for wavelengths shorter than ten times the average brick unit size.
SP  - 1808
A1  - Bacigalupo, Andrea
A1  - Gambarotta, Luigi
SN  - 9789609999403
PB  - National Technical University of Athens
ER  -