Numerical Analysis on Chaotic Performance of Concrete Material Using Nonlinear Dynamical Equation

Concrete is first-order diphase multiple materials, and can be regard as harden grout, aggregate and the interface between them. Because of concrete material inner complexity, illegibility, nonlinear and indetermination lead to nonlinear mechanics performance of concrete. Traditional mechanics methods are difficult to apply and have to depend on nonlinear science to set up nonlinear dynamical equation that is fit for itself characteristics. Firstly, the subsystem dynamical equation of concrete is set up based on discontinuous medium mechanics model. Prove the chaos effect when concrete is suffered from the external load. Then combine with the constitutive equation induced by compressor test. Get the curves of displacement and time and phase figures. It is important for the structure safe. According to the subsystem dynamical equation, the parameters can be adjusted by changing stuff graduation, water cement ratio etc. The reliability also can be increased. Finally the concrete dynamical equation under external load is built and found that this equation is a duff in equation. Results show that the concrete material take on complicated response to external load change.