Question

A PCM-impregnated LWA mortar contains 50% hardened cement paste (HCP), 30% sand and 20% lightweight aggregates (LWA). LWAs contain 40% porosity (See Figure) and some of the pores are fille with PCM (Phase change material). The LWAs contain 30% air voids and 10% PCM (Total 40% porosity). PCM (10%) Solid (60%) LWA (20%) Cement paste Matrix (50%) Sand (30%) Air voids (30%) LWA PCM-impregnated LWA mortar Young's modulus of solid fraction of LWA, PCM, cement paste and sand are 6 GPa, 1 MPa, 20 GPa and 70 GPa respectively. (A) Calculate the upper and lower bounds of Composite Young's modulus of the mortar (cement paste and sand) (B) Calculate the upper limit and lower limit of the composite Young's modulus of LWAs (C) Calculate the upper limit and lower limit of the composite Young's modulus of the PCM- impregnated LWA mortars (HCP + Sand + LWAs)

          A PCM-impregnated LWA mortar contains 50% hardened cement paste (HCP), 30% sand and 20%
lightweight aggregates (LWA). LWAs contain 40% porosity (See Figure) and some of the pores are
fille with PCM (Phase change material). The LWAs contain 30% air voids and 10% PCM (Total 40%
porosity).
PCM (10%)
Solid (60%)
LWA (20%)
Cement paste
Matrix (50%)
Sand (30%)
Air voids (30%)
LWA
PCM-impregnated LWA
mortar
Young's modulus of solid fraction of LWA, PCM, cement paste and sand are 6 GPa, 1 MPa, 20 GPa
and 70 GPa respectively.
(A) Calculate the upper and lower bounds of Composite Young's modulus of the mortar (cement
paste and sand)
(B) Calculate the upper limit and lower limit of the composite Young's modulus of LWAs
(C) Calculate the upper limit and lower limit of the composite Young's modulus of the PCM-
impregnated LWA mortars (HCP + Sand + LWAs)

$A PCM-impregnated LWA mortar contains 50% hardened cement paste (HCP), 30% sand and 20% lightweight aggregates (LWA). LWAs contain 40% porosity (See Figure) and some of the pores are fille with PCM (Phase change material). The LWAs contain 30% air voids and 10% PCM (Total 40% porosity). PCM (10%) Solid (60%) LWA (20%) Cement paste Matrix (50%) Sand (30%) Air voids (30%) LWA PCM-impregnated LWA mortar Young's modulus of solid fraction of LWA, PCM, cement paste and sand are 6 GPa, 1 MPa, 20 GPa and 70 GPa respectively. (A) Calculate the upper and lower bounds of Composite Young's modulus of the mortar (cement paste and sand) (B) Calculate the upper limit and lower limit of the composite Young's modulus of LWAs (C) Calculate the upper limit and lower limit of the composite Young's modulus of the PCM- impregnated LWA mortars (HCP + Sand + LWAs)$

Added by Jose Miguel B.

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