Titlebook: Mathematical Analysis of Continuum Mechanics and Industrial Applications III; Proceedings of the I Hiromichi Itou,Shiro Hirano,Alexandr M.

Lipoma

Hiromichi Itou,Shiro Hirano,Alexandr M. KhludnevPresents the latest mathematical modelling in continuum mechanics.Includes contributions from distinguished researchers in a range of fields.Introduces relevant mathematical applications for various p

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Mathematics for Industryhttp://image.papertrans.cn/m/image/625988.jpg

Projection

Some Recent Results on Regularity of the Crack-tip/Crack-front of Mumford–Shah MinimizersIn this short note, we would like to present some recent results about the regularity of the crack at the crack-tip/crack-front for the minimizers of the Mumford–Shah functional in . and .. The proofs can be found in [., ., .].

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The Mechanics and Mathematics of Bodies Described by Implicit Constitutive Equationsal materials. Classical theories to describe the response of materials such as the Cauchy theory of elasticity and the Navier–Stokes equations turn the demands of causality on its head and provide an expression for the Cauchy stress in terms of kinematical variables. It would be more reasonable inst

Vulvodynia

On the Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media has a hexagonal symmetry, and which satisfies the mechanically free and electrically closed boundary condition. We give a perturbation to the material constants of the piezoelectric half-space of hexagonal symmetry, which consists of a perturbative part of the elasticity tensor, a perturbative part

Cardiac

Deformation Problem for Glued Elastic Bodies and an Alternative Iteration Methodd surface. We reveal a variational structure of the model and prove the unique existence of a weak solution based on it. Furthermore, we also consider an alternating iteration method and show that it is nothing but an alternating minimizing method of the total energy. The convergence to a monolithic

Comprise

Shape Differentiability of Lagrangians and Application to Overdetermined ProblemsGeneral results are presented due to Delfour–Zolésio who adopted to shape optimization an abstract theorem of Correa–Seeger on the directional differentiability. A crucial point concerns the bijective property of function spaces as well as their feasible sets that must be preserved under a kinematic