By Arnold Isenberg
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5) as: ! 1 1 Cc ðt; to Þ ¼ 1 À g À 0 ðt; t Þ Em Em ðto Þ o Á 1Àg0:5 À 0 ðt; t Þ Em ðto Þ À Em o g0:5 þ ! ! 8) where Em(to) ¼ modulus of elasticity of matrix at age to and Cm(t, to) ¼ specific creep of matrix at age t due to load applied at age to. England  proposed a two-phase model for creep and shrinkage of concrete that consists of aggregate cubes surrounded symmetrically by a matrix of cement paste or mortar. The cubes are arranged in close-packed layers with cubes of adjacent layers staggered on both transverse directions.
C) Plan of brick or mortar composite. (d) Plan of inner brick or mortar composite. Composite Models 31 Hence, substitution of Eq. 31) in Eq. 32) Before Eq. 27) can be solved to obtain the modulus of elasticity of masonry, the relation between sbmx and swx is required. Since the lateral force on the masonry is equal to the sum of forces acting on the brick/mortar composite and the horizontal mortar joint: swx HWz ¼ my ðC þ 1Þshmx Wz þ Csbmx by Wz Hence, sbmx ¼ swx H À my ðC þ 1Þshmx Cby Now, from Eq.
B) Section through brick/vertical mortar composite and horizontal mortar joint. (c) Plan of brick/mortar composite. (d) Plan of inner brick/mortar composite. 65), Sbmx and Sm are the horizontal shrinkage of the brick/mortar composite and horizontal shrinkage of the mortar bed joint, respectively. 13(c) and (d): sbmx Wx Sbmx þ Ebmx ! ! 13(d)). 68) In the case of single-leaf walls, mz ¼ 0 and bz ¼ Wz. Substitution of Eq. 67) in Eq. 68) leads to: sbx ¼ sbmx Wz À ðSbx À Sm ÞEm mz ! 69) Hence, substitution of sbx in Eq.