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Предположим , у нас есть резиновый шарик с малой толщиной (пусть 0, 01 м).внутри него создано давление P1. Опустим этот шар в камеру , где создано давление 10*P1. Объем шарика уменьшится в 10 раз.Но если мы попытаемся повторить то же самое с железным "шариком ", то объем либо будет чуть меньше прежнего ,либо шар лопнет . Вопрос : почему? Каким образом можно рассчитать изменение объема полого шара?Как рассчитатьть объем деформации полого шара под действием внешнего давления при заданных условиях?
Насколько мне известно, подобные задачи рассматриваются в теориях упругости и пластичности. Чтобы найти нужную Вам формулу, мне придётся пересмотреть несколько учебников по этим предметам. Если найду, то я сообщу Вам.
Ограничусь попыткой ответить на следующий вопрос: Цитата: malich.e
Каким образом можно рассчитать изменение объема полого шара?
Будем понимать под полым шаром сферическую оболочку, у которой отношение толщины к радиусу кривизны находится в диапазоне В строительной механике тонкостенных конструкций выводится формула, согласно которой перемещение оболочки в направлении действия постоянного давления (вдоль радиуса) можно вычислить по формуле
где - модуль упругости и коэффициент Пуассона материала оболочки. Исходя из этого можно рассчитать и изменение объёма сферической оболочки:
При сжатии, разумеется, нужно полагать И рекомендую почитать это.
С уважением.
5
Спасибо ! Дана исчерпывающая информация. Благодарю за помощь .
Благодарю Вас за высокую оценку моего ответа. Но имейте, пожалуйста, в виду, что при сжатии может иметь место разрушение сферической оболочки из-за потери устойчивости. Надеюсь, Вы понимаете, что это значит.
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malich.e 
к радиусу кривизны 
находится в диапазоне 
В строительной механике тонкостенных конструкций выводится формула, согласно которой перемещение 
оболочки в направлении действия постоянного давления 
(вдоль радиуса) можно вычислить по формуле
- модуль упругости и коэффициент Пуассона материала оболочки. Исходя из этого можно рассчитать и изменение объёма сферической оболочки:
