THEORETICAL BACKGROUND OF MASONRY MODEL
THEORETICAL BACKGROUND OF MASONRY MODEL
THEORETICAL BACKGROUND OF MASONRY MODEL
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Introducing auxiliary stresses/strains,<br />
σ<br />
σ<br />
σ<br />
τ<br />
τ<br />
τ<br />
xxi<br />
xx<br />
yyi yy yyi<br />
zzi zz zzi<br />
xyi<br />
xy<br />
yzi yz yzi<br />
xzi<br />
= σ<br />
= σ + C<br />
= σ + C<br />
= τ<br />
= τ + C<br />
= τ<br />
xz<br />
A.17<br />
and<br />
ε<br />
ε<br />
ε<br />
γ<br />
γ<br />
γ<br />
xxi xx xxi<br />
yyi<br />
zzi<br />
yy<br />
zz<br />
xyi xy xyi<br />
yzi<br />
= ε + D<br />
= ε<br />
= ε<br />
= γ + D<br />
= γ<br />
yz<br />
= γ + D<br />
xzi xz xzi<br />
A.18<br />
where, i=1 & i=2 represent the layered material and head joint, respectively. Following the same procedure<br />
and defining the following coefficients,<br />
µ E µ E<br />
α = +<br />
1−ν ν 1<br />
eq y hj hj<br />
2<br />
yz zy<br />
−νhj<br />
µ E µ E<br />
β = +<br />
1−ν ν 1<br />
eq z hj hj<br />
2<br />
yz zy<br />
−νhj<br />
µν E µν E<br />
ζ = +<br />
1 1<br />
eq yz z hj hj hj<br />
2<br />
−ν yzνzy −νhj<br />
eq<br />
( + )<br />
µ<br />
eq<br />
νzx ν<br />
yxνzy<br />
χeq<br />
=<br />
1−ν ν<br />
µν<br />
hj hj<br />
χhj<br />
=<br />
1 − ν<br />
hj<br />
χ = χ + χ<br />
hj<br />
yz<br />
zy<br />
<strong>THEORETICAL</strong> <strong>BACKGROUND</strong> <strong>OF</strong> <strong>MASONRY</strong> <strong>MODEL</strong> page 16 / 20
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