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LAP Lambert Academic Publishing Асимптотические методы и модели в теории композитных материалов

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Description

В монографии обобщены результаты многолетних исследований автора в области механики композитов.Во вводной части книги очерчены важнейшие этапы развития механики композитов как науки, представлен краткий обзор исследований в этой сфере.В главе 1 рассматривается трехфазная модель композита и ее обобщения с использованием различных математических методов. Построена модернизированная трехфазная модель.Глава 2 посвящена анализу модели теории смазки. Получены решения для композитов различной структуры. Используемый подход обобщен для задач на собственные значения.В 3-ей главе исследованы предельные состояния композитных структур на основе аппарата асимптотически эквивалентных функций: понятие физической эквивалентности композитных структур, влияние тонкого интерфейса на границе раздела фаз композита на эффективные характеристики.В главе 4 на основе двухфазной модели композита построены высшие приближения формулы Максвелла, выполнен асимптотический анализ области их применимости.В 5-ой главе численными методами исследуются модели континуальной аппроксимации дискретных систем. Проведена континуализация дискретного логистического уравнения, доказано наличие хаоса в непрерывной модели.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
17 August 2021
Listed Since
11 September 2021

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No barcode data available

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