To be able to investigate an ageing concrete behaviour a material model is developed by this investigation in terms of tested material samples taken from the ageing concrete structure. The splitting tensile test is modified with a lateral expansion measurement rig to observe the load-displacement response in the splitting test. A set of material properties is determined based on experimental work and successfully used to create a material damage model for investigating the mechanical behaviour of the ageing concrete. A FEA model with this developed ageing concrete material model (ACMM) is used in simulation of selected concrete core sample tests including the splitting test. Comparison between tests and modelling simulations shows that the developed ageing concrete material model is working well. The outcomes from this investigation supplies an approach to widely investigate engineering materials with ageing problems.