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JournalISSN: 0045-7949

Computers & Structures 

About: Computers & Structures is an academic journal. The journal publishes majorly in the area(s): Finite element method & Mixed finite element method. It has an ISSN identifier of 0045-7949. Over the lifetime, 10855 publication(s) have been published receiving 288817 citation(s).
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Journal ArticleDOI
Rüdiger Rackwitz1, Bernd Flessler1Institutions (1)
Abstract: An algorithm for the calculation of structural reliability under combined loading is formulated. Loads or any other actions upon structures are modelled as independent random sequences. The relevant limit state criterion is pointwise approximated by a tangent hyperplane. The combination of time-variant actions then reduces to the calculation of the maximum of a sum of random variables which is facilitated through proper, discrete approximation of extreme value and other non-normal distribution functions by normal distributions. The iteration algorithm searches for an approximation point on the limit state criterion where the probability content of the failure domain limited by the tangent hyperplane reaches its maximum. Any type of continuous limit state criterion and any distribution type for the loads can be dealt with. The method is illustrated for a section of a wall without tensile strength loaded by a bending moment and a normal force.

1,778 citations

Journal ArticleDOI
Yi Min Xie1, Grant P. Steven1Institutions (1)
Abstract: A simple evolutionary procedure is proposed for shape and layout optimization of structures. During the evolution process low stressed material is progressively eliminated from the structure. Various examples are presented to illustrate the optimum structural shapes and layouts achieved by such a procedure.

1,636 citations

Journal ArticleDOI
Abstract: Riks [1] has recently proposed a new solution procedure for overcoming limit points. To this end, he adds, to the standard equilibrium equations, a constraint equation fixing the length of the incremental load step in load/deflection space. The applied load level becomes an additional variable. The present paper describes a means of modifying Rik's approach so that it is suitable for use with the finite element method. The procedure is applied in conjunction with the modified Newton-Raphson method in both its original and accelerated forms. The resulting techniques not only allow limit points to be passed, but also, improve the convergence characteristics of the unconstrained iterative procedures. Illustrative examples include the large deflection analysis of shallow elastic shells and the collapse analysis of a stiffened steel diaphragm from a box-girder bridge.

1,491 citations

Journal ArticleDOI
Stewart A. Silling1, Ebrahim Askari2Institutions (2)
Abstract: An alternative theory of solid mechanics, known as the peridynamic theory, formulates problems in terms of integral equations rather than partial differential equations. This theory assumes that particles in a continuum interact with each other across a finite distance, as in molecular dynamics. Damage is incorporated in the theory at the level of these two-particle interactions, so localization and fracture occur as a natural outgrowth of the equation of motion and constitutive models. A numerical method for solving dynamic problems within the peridynamic theory is described. Accuracy and numerical stability are discussed. Examples illustrate the properties of the method for modeling brittle dynamic crack growth.

1,198 citations

Journal ArticleDOI
Kang-Seok Lee1, Zong Woo Geem2Institutions (2)
TL;DR: A new structural optimization method based on the harmony search (HS) meta-heuristic algorithm, which was conceptualized using the musical process of searching for a perfect state of harmony to demonstrate the effectiveness and robustness of the new method.
Abstract: Most structural optimization methods are based on mathematical algorithms that require substantial gradient information. The selection of the starting values is also important to ensure that the algorithm converges to the global optimum. This paper describes a new structural optimization method based on the harmony search (HS) meta-heuristic algorithm, which was conceptualized using the musical process of searching for a perfect state of harmony. The HS algorithm does not require initial values and uses a random search instead of a gradient search, so derivative information is unnecessary. Various truss examples with fixed geometries are presented to demonstrate the effectiveness and robustness of the new method. The results indicate that the new technique is a powerful search and optimization method for solving structural engineering problems compared to conventional mathematical methods or genetic algorithm-based approaches.

1,003 citations

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