منابع مشابه
Optimal control of plates using incompatible strains
A flat plate will bend into a curved shell if it experiences an inhomogeneous growth field or if constrained appropriately at a boundary. While the forward problem associated with this process is well studied, the inverse problem of designing the boundary conditions or growth fields to achieve a particular shape is much less understood. We use ideas from variational optimization theory to formu...
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متن کاملScheduling with Incompatible Jobs
We consider scheduling problems in a multiprocessor system with incompatible jobs (two incompatible jobs cannot be processed by the same machine). We consider the problem to minimize the maximum job completion time. the makespan. This problem is NP-complete. We present a number of polynomial time approximation algorithms for this problem where the job incompatibilities possess a special structu...
متن کاملHeterogeneous growth-induced prestrain in the heart.
Even when entirely unloaded, biological structures are not stress-free, as shown by Y.C. Fung׳s seminal opening angle experiment on arteries and the left ventricle. As a result of this prestrain, subject-specific geometries extracted from medical imaging do not represent an unloaded reference configuration necessary for mechanical analysis, even if the structure is externally unloaded. Here we ...
متن کاملModels for elastic shells with incompatible strains.
The three-dimensional shapes of thin lamina, such as leaves, flowers, feathers, wings, etc., are driven by the differential strain induced by the relative growth. The growth takes place through variations in the Riemannian metric given on the thin sheet as a function of location in the central plane and also across its thickness. The shape is then a consequence of elastic energy minimization on...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2016
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-015-0958-7