Abstract
In this research, we deal with nonlinear continuum mechanics including uncertainty in material properties. Here, nonlinearity means material nonlinearity and geometrical nonlinearity. The author proposed NISP-Stochastic Finite Element Method (NISP-SFEM) that uses the approach called NISP (Non-Intrusive Stochastic Projection) method locally when calculating the tangent stiffness matrix, and we have shown the effectiveness of this method through numerical analysis. In that numerical analysis, a one-dimensional random variable problem such that Young's modulus changes stochastically according to a normal distribution has been dealt with. In this paper, we first deal with two-dimensional random variable problems such that the Young's modulus and the yield stress simultaneously change as independent random variables under the assumption of small strain theory. And next, we deal with the finite deformation elasticity problem including one-dimensional random variable such that the Young's modulus varies according to normal distribution. For this purpose, NISP-SFEM is extended to verify its effectiveness through these numerical analyses.
