{"id":72236,"date":"2005-11-01T00:00:00","date_gmt":"2005-11-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estudio-numerico-de-problemas-de-fractura-en-materiales-anisotropos-elasticos-y-piezoelectricos\/"},"modified":"2005-11-01T00:00:00","modified_gmt":"2005-11-01T00:00:00","slug":"estudio-numerico-de-problemas-de-fractura-en-materiales-anisotropos-elasticos-y-piezoelectricos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estudio-numerico-de-problemas-de-fractura-en-materiales-anisotropos-elasticos-y-piezoelectricos\/","title":{"rendered":"Estudio num\u00e9rico de problemas de fractura en materiales anis\u00f3tropos el\u00e1sticos y piezoel\u00e9ctricos"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Felipe Garc\u00eda S\u00e1nchez <\/strong><\/h2>\n<p>Se implementa la formulaci\u00f3n hipersingular del m\u00e9todo de los elementos de contorno con el objetivo de resolver problemas de fractura est\u00e1tica y din\u00e1mica arm\u00f3nica en dominios bidimensionales anis\u00f3tropos el\u00e1sticos y piezoel\u00e9ctricos. Se desarrolla un proceso de regularizaci\u00f3n de integrales basado en un cambio de variable adecuado a las soluciones fundamentales empleadas y utilizando, para las integrales hipersingulares, el m\u00e9todo de sustracci\u00f3n de la singularidad mediante el desarrollo en serie de la funci\u00f3n de forma para la nueva variable. Con este m\u00e9todo, las singularidades fuertes e hipersingularidades de las integrales son trasladadas a integrales de soluci\u00f3n anal\u00edtica conocida desplazando la evaluaci\u00f3n num\u00e9rica \u00fanicamente a integrales con integrando regular. En el caso arm\u00f3nico, mediante una adecuada descomposici\u00f3n de las soluciones fundamentales, la  parte singular es reemplazada por la soluci\u00f3n fundamental est\u00e1tica m\u00e1s determinadas constantes de modo que, para el an\u00e1lisis de cada frecuencia, es suficiente a\u00f1adir integrales que, a lo sumo, poseen singularidad logar\u00edtmica. Se resuelven un importante n\u00famero de problemas cuyos resultados ya exist\u00edan en la literatura con el prop\u00f3sito de validar el m\u00e9todo y su implementaci\u00f3n y se aportan un buen n\u00famero de nuevos resultados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estudio num\u00e9rico de problemas de fractura en materiales anis\u00f3tropos el\u00e1sticos y piezoel\u00e9ctricos<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estudio num\u00e9rico de problemas de fractura en materiales anis\u00f3tropos el\u00e1sticos y piezoel\u00e9ctricos <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Felipe Garc\u00eda S\u00e1nchez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 11\/01\/2005<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Andr\u00e9s S\u00e1ez P\u00e9rez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jos\u00e9 Dom\u00ednguez abascal <\/li>\n<li>Rafael Gallego sevilla (vocal)<\/li>\n<li>Manuel Doblar\u00e9 castellano (vocal)<\/li>\n<li>orlando Maeso fortuny (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Felipe Garc\u00eda S\u00e1nchez Se implementa la formulaci\u00f3n hipersingular del m\u00e9todo de los elementos de contorno con el [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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