Titlebook: Rubber and Rubber Balloons; Paradigms of Thermod Ingo Müller,Peter Strehlow Book 2004 Springer-Verlag Berlin Heidelberg 2004 Nonlinear Elas

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Lecture Notes in Physicshttp://image.papertrans.cn/r/image/831998.jpg

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1 Stability of Two Rubber Balloons,Rubber balloons, that usually adorn children’s parties, can also enchant the scientist. Indeed, there is much more than fun and games to be had with balloons; they form a suitable subject for mathematical studies and an interesting paradigm of methods of modeling in physics and chemistry.

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,8 Many Balloons – The Emergence of a Pseudoelastic Hysteresis,The hysteresis represented in Fig. 7.9 for an inflation-deflation process of two communicating balloons is only the beginning. Figure 8.1 shows the pressure during simultaneous inflation and deflation of 4 balloons versus the equivalent stretch which - for . balloons - is defined by. (8.1)

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9 Stability of the Spherical Shape,Ever so often we observe that a balloon, which is spherical in the undistorted state, becomes elongated upon inflation so that we obtain a rotationally symmetric ellipsoid-like shape with the axis of rotation connecting the nipple and its opposite point, the apex.

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