the welding in cold formed areas is not only an open question for statically loaded sections (brittle fracture) but also for dynamically loaded structures (fatigue resistance). a lot of structures are subjected to dynamic loadings and unfortunately very little information about the influence of welding in the cold formed areas on fatigue resistance is available. in order to establish the fatigu...

some numerical and experimental investigations are made on the performance of five different hyperelastic constitutive models (second order polynomial, yeoh, arruda-boyce, ogden and marlow) in tension and compressionmodes. first, the results of the tensile and compression tests on a rubber sample were used to determine the parameters of the models by curve fitting methods. next, by using an alg...

The aim of this study is to identify simultaneously the thermal conductivity tensor and heat capacity per unit volume a bimaterial, whose conduction obeys Fourier’s law. This approach validated by numerical simulation. simulated temperature fields are obtained direct resolution equation solved numerically with help finite element method formulation. To parameters, an inverse developed using mod...

The Bayesian model updating approach (BMUA) benefits from identifying the most probable values of structural parameters and providing uncertainty quantification. However, traditional BMUA is often used to update stiffness only with assumption well-known mass, which allows unidentifiable cases induced by coupling effect mass be circumvented may not optimal for structures experiencing damages in ...

Updating the structural model of complex structures is time-consuming due to the large size of the finite element model (FEM). Using conventional methods for these cases is computationally expensive or even impossible. A two-level method, which combined the Kriging predictor and the component mode synthesis (CMS) technique, was proposed to ensure the successful implementing of FEM updating of l...

Displacement finite element models of various beam theories have been developed using traditional finite element interpolations (i.e., Hermite cubic or equi-spaced Lagrange functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, total rotation φ and/or shear strain γxz, or in the integral form u...

QUADRATIC INVERSE EIGENVALUE PROBLEMS: THEORY, METHODS, AND APPLICATIONS Vadim Olegovich Sokolov, Ph.D. Department of Mathematical Sciences Northern Illinois University, 2008 Biswa Nath Datta, Director This dissertation is devoted to the study of quadratic inverse eigenvalue problems from theoretical, computational and applications points of view. Special attention is given to two important pra...