Modelling and Simulation of Deformation Field Variables in a Concrete Beam Under Pressure Loading

Deformation is determined analytically by the field variables (displacement, stress and strain). Here, we determine the displacement state of a concrete beam using a finite element solver (Abaqus). Concrete beam, a solid mixture of sand, cement, and water is model with its material properties of Young Modulus of 30Mpa, Poisson ratio of 0.2 and pressure load of magnitude 250KN in Abaqus CAE. The results obtained from the simulation of the Force-Displacement relationship are 85KN, 160KN, and 220KN corresponding to the displacement of 2mm, 1.5mm, and 1.0mm respectively. At a force of 85KN, the material extended by 2mm, attaining its elastic limit. The simulation of stress-strain relationship shows that, at a peak force intensity of 52Mpa, the beam undergo a deformation rate of 0.003. Comparing the results obtained from simulation with the analytic result obtained in the form of stiffness matrices, resulting from the finite element analysis of the beam. The stable equilibrium configuration of the beam in the stiffness matrix has all its eigen-values as 0.3, corresponding to the range of the pressure force of 1KN to 85KN and a displacement of 2mm of the simulation. While, higher displacement and deformation occurs when the pressure load is beyond 85KN, which is captured in the eigen-values of stiffness matrix as 0.15, and 0.00 entries. Hence, from the results, the simulated model from the Abaqus is in an excellent agreement in interpreting the state of the beam under pressure load.