Engineered cementitious composites (ECCs) are an advanced type of concrete with enhanced properties compared to traditional concrete. ECCs are designed to possess high ductility and resilience, making them well suited for a wide range of applications in construction and infrastructure. These composites can undergo significant deformation before failure, allowing them to absorb energy and withstand tensile stresses without cracking. In this contribution, we consider ECCs with embedded shape memory alloy nets to enable crack closure when cracks do occur. A constitutive model is developed that incorporates mechanisms of crack initiation and propagation and employs a softening law to describe the post-cracking behaviour. The embedded shape memory alloy net enhances the tensile strength and ductility of the ECC and provides additional recovery and crack-closure capabilities when activated. The constitutive model is implemented in numerical simulations using the finite element method to analyze the behaviour of ECCs under various loading conditions. The obtained numerical results will be presented.