Построение фундаментального решения уравнений статики {1,2}-аппроксимации безмоментного напряженного состояния для трансверсально-изотропных пластин
DOI :
https://doi.org/10.15587/2313-8416.2016.76534Mots-clés :
{1, 2}-аппроксимация, фундаментальное решение, тренсверсально-изотропные пластины, уравнения статики, безмоментное напряженное состояниеRésumé
Рассмотрена задача статики трансверсально-изотропных пластин, которые находятся под действием сосредоточенной силы. Использованы уравнения статики {1,2}-аппроксимации, полученные путем разложения искомых функций в ряды Фурье по полиномам Лежандра относительно толщинной координаты. Данные уравнения учитывают все компоненты тензора напряжений, включая поперечные сдвиговые и нормальные напряжения. Проведены численные исследования, демонстрирующие влияние упругих констант на компоненты напряженно-деформированного состояния трансверсально-изотропной пластины
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