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- W2556557588 abstract "This paper presents a computational strategy dedicated to the testing of innovative mechanical models or advanced solution techniques in “real-world” industrial problems. It is motivated by two observations. First, in many industrial problems, sources of computational costs (such as nonlinear or fine-scale phenomena), that would benefit from advanced techniques, are localized in small areas. Second, commercial finite element software, which are often used in the industry, are rarely flexible enough to allow direct implementation of such techniques within them. Therefore, we suggest creating a separate local submodel or patch describing the area of interest with the desired phenomena and techniques, which uses its own separate software. This submodel is then embedded into the global model by the means of “black box” solver coupling tools, allowing for maximum flexibility and modularity. In this paper, the strategy is applied to insert local plasticity into a linear elastic global model. The main difference from traditional coupled problems is that the area of interest is usually described within both models, with significative differences in meshes, geometries or constitutive relations, see Figures 1(a) and 1(b). For that reason, and to ensure maximum flexibility, a substitution formalism is used [6], which means the reference problem is defined by the actual substitution of the nonlinear local problem into the linear global problem, see Figure 1(c). Therefore, it is a partitioned problem that can be solved with a surface coupling technique. To take the global effects of local details into account, we use a modified Newton algorithm [10] that requires no modification of the global model (only additional interface loads are prescribed), and that only exchanges nodal displacements and forces between the solvers. Therefore, the implementation is non-intrusive with respect to both solvers (which are used as “black boxes”), but also with respect to existing model data sets, which makes the strategy simpler and more convenient than multiscale-based “patch” or hierarchical methods [2, 5]. In addition, local nonlinearity is handled within the local model, which is known to be more efficient than only using global iterations [4]." @default.
- W2556557588 created "2016-11-30" @default.
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- W2556557588 date "2010-01-01" @default.
- W2556557588 modified "2023-10-09" @default.
- W2556557588 title "An application of non-intrusive coupling techniques to structural problems with localized plasticity" @default.
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