In this paper the authors consider mechanical devices that can be seen as segments of an artificial worm or as a balloon for angioplasty. Continuing former work \cite{St 2003} the segment is now placed within a cylindrical or constricted rigid tube that will be touched or pressed during inflation of the segment. Both the segment's shape and the forces of contact are investigated. The main mathematical tool is the Principle of Minimal Potential Energy - handled as an optimal control problem with state constraint. The necessary optimality conditions are carefully analyzed and simulation results for characteristic examples are presented.\\ The treatment of the problem is primarily mathematical but aiming at application
When a rubber tube with free ends is inflated under volume control, the pressure will first reach a ...
AbstractThe present paper is devoted to the study of finite inflation of a hyperelastic toroidal mem...
We study localized bulging of a cylindrical hyperelastic tube of arbitrary thickness when it is subj...
In this paper the authors consider mechanical devices that can be seen as segments of an artificial ...
Continuing former work [8], [9] the authors consider a mechanical system that models a segment of a ...
In former work, a mechanical system was considered that models a segment of a live or artificial wo...
The applications of inflatable membrane structures are increasing rapidly in the various fields of e...
A nonlinear elastic tubular membrane bonded at its ends to rigid plates is subjected to internal pre...
In this paper we address the problem of determining the equilibrium configuration of elastic membran...
One way to achieve large deformations and elongation in soft material robots involves the creation o...
In the present work we derive an analytical expression for the pressure-deflection curve of circular...
The applications of membranes are increasing rapidly in various fields of engineering and science. T...
We consider localized bulging/necking in an inflated hyperelastic membrane tube with closed ends. We...
We study the bulging behavior of thin cylindrical balloons with various aspect ratios under internal...
International audienceInflatable tubes must be pressurized before they are able to resist to externa...
When a rubber tube with free ends is inflated under volume control, the pressure will first reach a ...
AbstractThe present paper is devoted to the study of finite inflation of a hyperelastic toroidal mem...
We study localized bulging of a cylindrical hyperelastic tube of arbitrary thickness when it is subj...
In this paper the authors consider mechanical devices that can be seen as segments of an artificial ...
Continuing former work [8], [9] the authors consider a mechanical system that models a segment of a ...
In former work, a mechanical system was considered that models a segment of a live or artificial wo...
The applications of inflatable membrane structures are increasing rapidly in the various fields of e...
A nonlinear elastic tubular membrane bonded at its ends to rigid plates is subjected to internal pre...
In this paper we address the problem of determining the equilibrium configuration of elastic membran...
One way to achieve large deformations and elongation in soft material robots involves the creation o...
In the present work we derive an analytical expression for the pressure-deflection curve of circular...
The applications of membranes are increasing rapidly in various fields of engineering and science. T...
We consider localized bulging/necking in an inflated hyperelastic membrane tube with closed ends. We...
We study the bulging behavior of thin cylindrical balloons with various aspect ratios under internal...
International audienceInflatable tubes must be pressurized before they are able to resist to externa...
When a rubber tube with free ends is inflated under volume control, the pressure will first reach a ...
AbstractThe present paper is devoted to the study of finite inflation of a hyperelastic toroidal mem...
We study localized bulging of a cylindrical hyperelastic tube of arbitrary thickness when it is subj...