Describe the difference between the fracture behavior of hardened cement paste and mortar or concrete in terms of microstructure and the fracture toughness KIc.

. Explain the reasons for such difference in behavior.

I could put everything together and make the connection so I am stocked :(

Thanks everyone !

When it comes to the fracture behavior of hardened cement paste, mortar, and concrete, there are some differences in terms of microstructure and fracture toughness (KIc). To understand these differences, let's break it down:

1. Microstructure: Hardened cement paste, mortar, and concrete all consist of cement particles and aggregates, but they differ in their proportions and arrangement.

- Hardened Cement Paste: It is composed primarily of cement particles mixed with water, resulting in a dense and compact microstructure. It has a higher cement-to-water ratio, which leads to a relatively lower volume of aggregates.

- Mortar: Mortar is a mixture of cement, fine aggregates (such as sand), and water. It contains a higher volume of aggregates compared to hardened cement paste, resulting in a more porous microstructure.

- Concrete: Concrete is a composite material consisting of cement, coarse aggregates (such as gravel or crushed stone), and water. It has an even larger proportion of aggregates, making its microstructure more porous compared to mortar.

2. Fracture Toughness (KIc): Fracture toughness is the ability of a material to resist the propagation of cracks. KIc is a measure of this property and represents the critical stress intensity factor required to initiate fracture in a material.

- Hardened Cement Paste: Due to its dense and compact microstructure, hardened cement paste has a relatively higher fracture toughness (KIc). It can resist the propagation of cracks more effectively, making it less prone to fracture.

- Mortar: With a more porous microstructure, mortar has a lower fracture toughness (KIc) compared to hardened cement paste. The presence of air voids and the concentration of aggregates in specific regions make it easier for cracks to propagate through the matrix.

- Concrete: Similar to mortar, concrete also has a lower fracture toughness (KIc) compared to hardened cement paste. Its more porous microstructure imparts lesser resistance to crack propagation, making it more susceptible to fracturing.

Reasons for the Difference:

1. Porosity: The higher the porosity in the microstructure, the easier it is for cracks to propagate. With an increased volume of aggregates and air voids, mortar and concrete have a more porous microstructure compared to hardened cement paste.

2. Aggregate Content and Arrangement: The presence of larger aggregates in mortar and concrete can act as stress concentrators. In areas where aggregates are concentrated, cracks are more likely to initiate and propagate.

3. Water-to-Cement Ratio: The water-to-cement ratio affects the overall microstructure and strength of the hardened material. Higher water-to-cement ratios in mortar and concrete can result in a more porous and weaker microstructure, making them more susceptible to fracturing.

In summary, hardened cement paste has a denser microstructure and higher fracture toughness (KIc) compared to mortar and concrete. The difference in behavior is primarily due to variations in porosity, aggregate content, arrangement, and water-to-cement ratio.