# A Comparative Analysis of FORM/SORM and Polynomial Chaos Expansions for Highly Nonlinear Systems

Optimal Polynomial Control of a Duffing System

Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation

Moment Equations for Linear Systems Subjected to Polynomials of Filtered Poisson Processes

Stable Forced Vibrations Near Unstable Positions

Promoting Management Systems Within Organizations

*The major effort during the years in which pavement management emerged as an accepted practice was making refinements to the technical models and techniques in the systems. For example,...*

Design of a Threshold Channel

Macromodeling of Complex Composites

*Dimensionally reduced p-version finite elements based on higher order theory are developed for modeling laminated composite plates and shells in the presence of cracks, notches, and delaminations....*

Experiences with Experimental Design Schemes for Failure Surface Estimation and Reliability

*When using FORM and SORM to predict the probability of failure for a structural component a model for the failure function has to exist. For certain structural components a mechanical...*

Polynomial Chaos for Nonlinear Random Vibration

*A new technique is presented for the solution of nonlinear random vibration problems. The technique is based on a spectral expansion of the random excitation and of the random response...*

Failure Prediction of Anisotropic Material

*Basic mathematical elements of a higher order failure theory for anisotropic material are outlined. Surface closure is ensured by requiring a tensor polynomial to satisfy constraint conditions....*

Two-Dimensional Statistical Micromechanical Models for Microcracked Brittle Solids

*Recent development undertaken by the authors in two-dimensional statistical micromechanical models for brittle solids with randomly located interacting microcracks is presented. Overall...*

Developments in the Use of Cubic B-Splines in the Compound Strip Method

*A general cubic B-spline compound strip method (BCSM) has been developed to analyze thin plates, stiffened plates, folded plates, and box-girders. In the BCSM a problem is first partially...*

Buckling of Lamianted Plates Using h-p Finite Strips

*The paper presents a computationally efficient alternative to the finite element method for the initial buckling analysis of long, shear-deformable composite laminates. In addition the...*

p-Version Three Dimensional Solid Element for Heat Conduction

*This paper presents a finite element formulation for a three dimensional twenty-seven node hierarchical solid element for heat condition where the element temperature approximation can...*

p-Version Three Dimensional Curved Shell Element for Geometrically Nonlinear Behavior

*This paper presents a p-version hierarchical geometrically nonlinear formulation based on the total Lagrangian approach for a nine node three dimensional curved shell element. The element...*

Revised Failure-Conditioned Reliability Index

*The authors have developed the failure-conditioned reliability index to estimate the probability of intersection of correlated normal variates. The index makes use of the mean and standard...*

Tension Leg Platform Response to Drag Forces by Equivalent Stochastic Quadratization

*An equivalent stochastic 'quadratization' method is described for performing nonlinear stochastic response analyses of offshore platforms subject to wave and...*

Objective Comparison of Fatigue Crack Growth Laws

*This paper presents objective criteria for choosing between different fatigue crack growth laws to represent a material's fatigue behavior based on a data set containing multiple...*

Experience with the p-Version Program PROBE

*The conventional approach in the FEM is known as the h-version, in which the solution accuracy depends on the size h of elements. The alternative approach is the p-version, in which the...*

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