Энергия парного взаимодействия пересекающихся дефектов дилатационного и дисклинационного типа
Аннотация
В настоящей работе исследуется упругое взаимодействие пересекающихся дефектов дилатационного и дисклинационного типа в приближении линейно-изотропной среды.
В рамках теории собственных деформаций найдены аналитические выражения, описывающие парное взаимодействие пересекающихся дилатационных нитей и пересекающихся клиновых дисклинаций. Показано, что энергия взаимодействия таких дефектов монотонно зависит от угла между ними: наибольшей энергией взаимодействия обладают дефекты, линии которых сонаправлены, наименьшей энергией взаимодействия – дефекты, линии которых ортогональны. Кроме этого, показано, что энергия взаимодействия пересекающихся клиновых дисклинаций сильно зависит от упругих свойств среды: чем меньше коэффициент Пуассона, тем меньше энергия парного взаимодействия дисклинаций.
Полученные аналитические выражения представляют практическую ценность для описания процессов релаксации остаточных напряжений в неоднородных структурах с пентагональной симметрией, в частности, в икосаэдрических частицах
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