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Explicit finite deformation analysis of isogeometric membranes
Explicit finite deformation analysis of isogeometric membrane
An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphas
Finite strain fracture of plates and shells with configurational forces and edge rotation
Finite strain fracture of plates and shells with configurational forces and edge rotatio
Implicit solutions with consistent additive and multiplicative components
This work describes an algorithm and corresponding software for incorporating general nonlinear multiple-point equality constraints in a implicit sparse direct solver. It is shown that direct addressing of sparse matrices is possible in general circumstances, circumventing the traditional linear or binary search for introducing (generalized) constituents to a sparse matrix. Nested and arbitrarily interconnected multiple-point constraints are introduced by processing of multiplicative constituents with a built-in topological ordering of the resulting directed graph. A classification of discretization methods is performed and some re-classified problems are described and solved under this proposed perspective. The dependence relations between solution methods, algorithms and constituents becomes apparent. Fracture algorithms can be naturally casted in this framework. Solutions based on control equations are also directly incorporated as equality constraints. We show that arbitrary constituents can be used as long as the resulting directed graph is acyclic. It is also shown that graph partitions and orderings should be performed in the innermost part of the algorithm, a fact with some peculiar consequences. The core of our implicit code is described, specifically new algorithms for direct access of sparse matrices (by means of the clique structure) and general constituent processing. It is demonstrated that the graph structure of the second derivatives of the equality constraints are cliques (or pseudo-elements) and are naturally included as such. A complete algorithm is presented which allows a complete automation of equality constraints, avoiding the need of pre-sorting. Verification applications in four distinct areas are shown: single and multiple rigid body dynamics, solution control and computational fracture
Phantom-node method for shell models with arbitrary cracks
A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method
Rational Framework for Probability of Collapse in Buildings
Rational Framework for Probability of Collapse in Building
Experimental Modal Analysis of a Twin Composite Filler Beam Railway Bridge for High-speed Trains with Continuous Ballast
Experimental Modal Analysis of a Twin Composite Filler Beam Railway Bridge for High-speed Trains with Continuous Ballas
Cost-benefit based optimization of maintenance interventions for deteriorating structures
Cost-benefit based optimization of maintenance interventions for deteriorating structure
Measurement of the chaotic motion of the cantilever beam in the postcritical state
Measurement of the chaotic motion of the cantilever beam in the postcritical stat
An adaptive response surface approach for structural reliability analyses based on support vector machines
An adaptive response surface approach for structural reliability analyses based on support vector machine