YIn this paper, we discuss the assessment of the margins of safety (MOS) for engineered structures (buildings, bridges, machines and aircraft). With respect to metallic structures the MOS are primarily a function of t...
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ISBN:
(纸本)9783030151195;9783030151188
YIn this paper, we discuss the assessment of the margins of safety (MOS) for engineered structures (buildings, bridges, machines and aircraft). With respect to metallic structures the MOS are primarily a function of the observed yield stress of the metal (critical property of the constitutive material). With continuous fiber reinforced polymer composites (composites in this paper) such a crisp measurement of the "yield stress" is not available. The result has been an empirical test-intensive building block approach to the assessment of the MOS for composite structure. However, the capability to use the critical properties of the constitutive materials of the composite system to evaluate the MOS of the composite structure is now possible ( explicit MOS assessment). Such an approach will lead to significant reductions in cost and time-to-design as well as a practical means towards expanding the design space. The measurement of the critical measures, de-homogenization of homogenous strain states and classical convergence of the numerical solutions involved are discussed in detail. Finally, integrating generalized finite elements into the analysis process will allow for rapid and efficient assessment of the MOS for global structures.
This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scena...
ISBN:
(数字)9783030209612
ISBN:
(纸本)9783030209605
This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios.
Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different f...
ISBN:
(数字)9783319754260
ISBN:
(纸本)9783319754253
Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fourth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including computational chemistry, computational fluid dynamics, and big data analytics, to name but a few.
This work considers a weighted POD-greedy method to estimate statistical outputs parabolic PDE problems with parametrized random data. The key idea of weighted reduced basis methods is to weight the parameter-dependen...
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The trend of future massively parallel computer architectures challenges the exploration of additional degrees of parallelism also in the time dimension when solving continuum mechanical partial differential equations...
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Melting water-ice systems develop complex spatio-temporal interface dynamics and a non-trivial temperature field. In this contribution, we present computational aspects of a recently conducted validation study that ai...
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The spray cleaning of surfaces is a standard task in the food and pharmaceutical industries. At present, the development of such nozzles is based on semi-empirical methods, experience and iterative prototyping. This a...
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