html,body{font-size:16px !important;line-height:18px !important;height:100%;color:#333;padding:0;margin:0}*,html,body{font-family:"Poppins",sans-serif;font-weight:normal;letter-spacing:normal;-webkit-font-smoothing:antialiased;-webkit-box-sizing:border-box;-moz-box-sizing:border-box;box-sizing:border-box;text-rendering:geometrirecision;-webkit-tap-highlight-color:rgba(0,0,0,0);outline:none !important;letter-spacing:-0.1px;word-wrap:break-word}.row{display:flex;flex-wrap:wrap;margin-left:-10px;margin-right:-10px;padding:0 2px}.col{flex:0 0 auto;width:25%;margin-bottom:20px;padding-left:10px;padding-right:10px}.col .entity-item{height:100%}strong,b{font-family:"Poppins",sans-serif;font-weight:bold}figure{margin:0;padding:0}a{text-decoration:none;color:#174fae}a:hover{text-decoration:underline}pre{padding:5px;margin-top:20px;background:#f3f3f3;border:1px solid #ccc}p{font-size:18px;line-height:24px}.link{cursor:pointer}.nowrap{white-space:nowrap}.overflow-auto{overflow:auto !important;-webkit-overflow-scrolling:touch !important}.h1,.h2,.h3,.h4,.h5,.h6,h1,h2,h3,h4,h5,h6{font-family:"Poppins",sans-serif;font-weight:bold}.multiple:after{content:',';margin-right:4px}.multiple:last-child:after{content:'';margin-right:0}.icon-home{display:flex;justify-content:center;align-items:center}.icon-home svg{fill:#fff;width:15px;height:15px}.icon svg{fill:#fff;width:35px;height:35px}.m-0{margin:0 !important}.p-0{padding:0 !important}.mt-0{margin-top:0 !important}.mb-0{margin-bottom:0 !important}.mb-2{margin-bottom:10px !important}.me-1{margin-right:5px !important}.me-2{margin-right:10px !important}.mb-4{margin-bottom:20px !important}.mt-2{margin-top:20px !important}.mt-1{margin-top:10px !important}.opacity-0{opacity:0 !important}hr{border:0;border-top:1px solid #ccc}.hide-scrollbar{overflow-x:scroll;scrollbar-width:none}.hide-scrollbar::-webkit-scrollbar{display:none}.d-none{display:none !important}.btn{display:inline-block;font-weight:400;line-height:1.5;color:#212529;text-align:center;text-decoration:none;vertical-align:middle;cursor:pointer;-webkit--select:none;-moz--select:none;-select:none;background-color:transparent;border:1px solid transparent;padding:.375rem .75rem;font-size:1rem;border-radius:.25rem;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out,box-shadow .15s ease-in-out}.btn:hover{text-decoration:none}.btn-link{font-weight:400;color:#0d6efd;text-decoration:none}.btn-group-sm>.btn,.btn-sm{padding:.25rem .5rem;font-size:.875rem;border-radius:.2rem}.btn-outline-dark{color:#212529;border-color:#212529}.btn-outline-dark a{color:#212529}.btn-outline-dark:hover{color:#fff;background-color:#212529;border-color:#212529}.btn-outline-dark:hover a{color:#fff;text-decoration:none}.btn-outline-light{color:#f8f9fa;border-color:#f8f9fa}.btn-outline-light:hover{color:#000;background-color:#f8f9fa;border-color:#f8f9fa}.btn-secondary{color:#fff;background-color:#6c757d;border-color:#6c757d}.btn-dark{color:#fff;background-color:#001c4c;border-color:#001c4c}.btn-danger{color:#fff;background-color:#dc3545;border-color:#dc3545}.btn-light{color:#000;background-color:#f8f9fa;border-color:#f8f9fa}.btn-rounded{border-radius:50px}.btn-dark:hover{color:#ccc}.btn-outline-dark{color:#212529;border-color:#212529}.btn-outline-dark:hover{color:#fff;background-color:#212529;border-color:#212529}.btn-movie{font-size:25px;line-height:25px;padding:0;border-radius:50% !important;width:60px;height:60px;margin:0 15px 0 0;display:flex;justify-content:center;align-items:center}.btn-movie svg{width:30px;height:30px}.btn-icon{line-height:0}.btn-icon svg{fill:#fff;width:1.1em;height:1.1em}.btn-movie:hover svg{fill:#fff}.breadcrumb{font-size:16px;line-height:30px}.breadcrumb{display:flex;flex-wrap:wrap;padding:0;margin-bottom:1rem;list-style:none}.breadcrumb-item+.breadcrumb-item{padding-left:.5rem}.breadcrumb-item+.breadcrumb-item::before{float:left;padding-right:.5rem;color:#6c757d;content:"/";font-size:12px}.sidebar{display:flex;justify-content:space-between;height:100%;flex-direction:column}.sticky-box{height:100%;width:100%;margin-bottom:20px;padding:0}.banner{position:sticky;top:10px;margin-bottom:20px;margin-left:auto;margin-right:auto}.banner ins{position:sticky;top:10px;text-decoration:none;display:block;overflow:hidden !important}.banner ins:after{content:'PUBLICIDAD';background:#f5f5f5;width:100%;display:block;text-align:center;font-size:12px;line-height:12px;padding:4px 0}.bottom-ad-module{display:none}.roba-mobile{display:none}.roba-mobile,.roba-desktop{min-height:600px}.roba-desktop{display:flex;justify-content:start;align-items:end;flex-direction:column;width:320px;max-width:320px}.board-article-outbrain{margin-bottom:40px}.input-group{position:relative;display:flex;flex-wrap:wrap;align-items:stretch;width:100%}.input-group>.form-control,.input-group>.form-select{position:relative;flex:1 1 auto;width:1%;min-width:0}.input-group:not(.has-validation)>.dropdown-toggle:nth-last-child(n+3),.input-group:not(.has-validation)>:not(:last-child):not(.dropdown-toggle):not(.dropdown-menu){border-top-right-radius:0;border-bottom-right-radius:0}.input-group>:not(:first-child):not(.dropdown-menu):not(.valid-tooltip):not(.valid-):not(.invalid-tooltip):not(.invalid-){margin-left:-1px;border-top-left-radius:0;border-bottom-left-radius:0}.form-control{display:block;width:100%;padding:.375rem .75rem;font-size:1rem;font-weight:400;line-height:1.5;color:#212529;background-color:#fff;background-clip:padding-box;border:1px solid #ced4da;-webkit-appearance:none;-moz-appearance:none;appearance:none;border-radius:.25rem;transition:border-color .15s ease-in-out,box-shadow .15s ease-in-out}.form-control-sm{min-height:calc(1.5em+.5rem+2px);padding:.25rem .5rem;font-size:.875rem;border-radius:.2rem}.container{width:1140px;margin-left:auto;margin-right:auto}.top{margin-bottom:20px}.topbar-container{width:100%;background-color:#001c4c}.topbar{position:relative;display:flex;justify-content:center;padding:10px 0;z-index:2}.header-section{border-top:1px solid #fff;background-color:#eaede2;padding:10px 0;text-align:center}.header-section .header-section-title,.header-section .header-section-title a{font-family:"Poppins",sans-serif;font-weight:700;font-size:26px;line-height:26px;margin:0;padding:0;color:#001c4c}.menu-container{width:100%}.menu{position:relative;display:flex;justify-content:center;border-bottom:1px solid #ffffff59;padding:5px 0;z-index:2;background-color:#f3f3f3}.menu .navbar-nav{display:flex;flex-direction:row;list-style:none;padding:0;margin:0}.menu .navbar-nav .nav-link{display:block;padding:.5rem;text-decoration:none;transition:color .15s ease-in-out,background-color .15s ease-in-out,border-color .15s ease-in-out;color:rgba(0,0,0,.55);font-weight:500;font-size:14px;line-height:14px;text-transform:uppercase}.form-search-container{padding:15px 0;width:auto;background-color:#e9f1f8}.form-search{display:flex;flex-direction:row;justify-content:center;width:1140px;margin-left:auto;margin-right:auto}.form-search form{display:flex;width:50%}.form-search .input-search-autocomplete{background-color:#ffffffa8}.section{width:100%;margin-bottom:40px}.section .section-header{display:flex;align-items:center;justify-content:space-between;border-top:3px solid #001c4c;border-bottom:1px solid #001c4c;margin-bottom:20px}.section .section-header p,.section .section-header h2,.section .section-header h1{font-size:24px;line-height:28px;font-weight:bold;color:#001c4c;font-size:24px;line-height:24px;padding:10px 0;margin:0}.entity-item{display:flex;flex-direction:column;position:relative;width:100%;border-bottom:4px solid #001c4c;background:#f3f3f3;box-shadow:0 0 4px #000;text-align:left;margin-bottom:0}.entity-item .entity-item-details{order:1;padding:10px}.entity-item .entity-title,.entity-item .entity-title a{font-size:18px;line-height:20px;font-family:"Poppins",sans-serif;font-weight:600;color:#333;text-decoration:none;margin-bottom:0;margin-top:0;text-transform:uppercase}.entity-item .entity-title small{font-size:14px;line-height:16px}.entity-item .entity-title a:before{content:"";top:0;left:0;right:0;bottom:0;display:block;margin:0;padding:0;position:absolute;z-index:2}.entity-item .entity-item-image{order:0}.entity-item .figure{position:relative;aspect-ratio:.66666667;display:flex;justify-content:center;align-items:center;background-color:#222;color:#fff;overflow:hidden}.entity-item .figure:after{content:var(--category-var);position:absolute;bottom:5px;right:5px;font-size:14px;line-height:14px;text-align:right;background:#2e579e;color:#fff;font-weight:bold;padding:3px 6px;border-radius:5px}.entity-item .figure .img{position:absolute;top:0;left:0;width:100%;height:100%;object-fit:cover}.footer{background-color:#001c4c;padding:20px 0}.footer .container{display:flex;flex-direction:column;justify-content:center;align-items:center;text-align:center}.footer p{font-size:14px;line-height:1;color:#fff;text-align:center;padding:0 10px}.footer a{color:#ccc}.gallery{display:grid;grid-auto-flow:column;grid-auto-columns:calc(100% / 1.1);gap:10px;overflow-x:scroll;scroll-snap-type:x mandatory;scroll-behavior:smooth}.gallery figure{scroll-snap-align:start;position:relative;aspect-ratio:16 / 9;border-radius:10px;border:1px solid #ccc;display:flex;justify-content:center;align-items:center;background-color:#222;color:#fff;width:100%}.gallery img{position:absolute;top:0;left:0;width:100%;height:100%;object-fit:cover;border-radius:10px}.video-gallery{display:grid;grid-auto-flow:column;grid-auto-columns:calc(100% / 1.1);gap:10px;overflow-x:scroll;scroll-snap-type:x mandatory;scroll-behavior:smooth}.video{scroll-snap-align:start;border-radius:10px;overflow:hidden}.video iframe{width:100%;height:100%;aspect-ratio:16 / 9}.entity-gallery .gallery-row>*{border:1px solid #ffffff00}.entity-gallery .gallery-row{display:grid;grid-auto-flow:column;grid-auto-columns:calc(100% / 4.06);gap:15px;overflow-x:auto;overflow-y:hidden;scroll-snap-type:x mandatory;scroll-behavior:smooth;scroll-padding:0}.entity-gallery .gallery-row-6{grid-auto-columns:calc(100% / 5.9)}.entity-gallery .gallery-column{width:100%;scroll-snap-align:start;object-fit:cover}.entity-gallery .entity-item{display:flex;flex-direction:column;position:relative;margin-bottom:0;height:100%}.carousel-wrapper{position:relative}.carousel-button{position:absolute;top:50%;transform:translateY(-50%);background-color:#00000099;color:white;border:0;padding:10px 10px;cursor:pointer;z-index:10;border-radius:100%;display:flex;justify-content:center;align-items:center}.carousel-button svg{fill:#fff;width:20px;height:20px}.carousel-prev{left:0}.carousel-next{right:0}.accordion{width:100%;border:1px solid #ccc;border-radius:8px}.accordion-item{border-top:1px solid #ccc}.accordion-header{display:flex;justify-content:start;align-items:center;padding:15px;cursor:pointer;font-weight:bold}.accordion-header .badge{background-color:#6c757d;color:#fff;padding:5px 10px;border-radius:4px;font-size:14px}.accordion-checkbox{display:none}.accordion-content{max-height:0;overflow:hidden;transition:max-height .3s ease;padding:0 10px;background-color:#fff}.accordion-checkbox:checked ~ .accordion-content{max-height:500vh;padding:0 10px}.accordion-content .table{width:100%;margin-top:10px;margin-bottom:10px;border-collapse:collapse}.accordion-content .table td{padding:10px;border:1px solid #ddd}.accordion-item:first-of-type{border-top:0}.accordion-header::after{flex-shrink:0;margin-left:auto;content:"+";background-repeat:no-repeat;background-size:1.25rem;transition:transform .2s ease-in-out}.accordion-header h4{font-weight:normal}.accordion-content p{margin-top:0}.no-disponible{text-align:center}@media(max-width:1024px){.container{width:100%}.top{margin-bottom:0}.other-container{width:100%;margin:0;padding-left:15px;padding-right:15px}.col{flex:0 0 auto;width:50%}.menu{display:block}.aside-container{display:none}.form-search{width:100%}.form-search form{display:flex;width:100%;margin:0 15px}.entity-item .entity-title,.entity-item .entity-title a{font-size:16px;line-height:18px}.breadcrumb{margin-bottom:10px;padding-left:15px;padding-right:15px}.gallery{grid-auto-columns:calc(100% / 1.1)}.entity-gallery .gallery-row{grid-auto-columns:calc(100% / 2.3)}.section .section-header p,.section .section-header h2,.section .section-header h1{font-size:20px;line-height:22px}.roba-desktop{display:none}.roba-mobile{position:relative;top:0;margin-bottom:30px;display:flex;justify-content:start;align-items:center;flex-direction:column;width:calc(100vw - 30px);max-width:calc(100vw - 30px)}.roba-mobile ins{position:sticky;top:0}.bottom-ad-module{display:block;position:fixed;bottom:0;left:0;width:100%;margin:0;box-shadow:0 -1px 5px 0 rgba(0,0,0,.2);text-align:center;line-height:0;background:#f5f5f5;z-index:3000004;transition:transform .5s ease,opacity .5s ease}.bottom-ad-module-hidden{transform:translateY(100%);opacity:0}.bottom-ad-module .publi-box__close-btn{display:block;color:#666;background:#f5f5f5;z-index:1000001;font-size:17px;padding:5px;box-shadow:1px -2px 2px 0 rgba(0,0,0,.2);border-top-left-radius:8px;width:28px;height:28px;position:absolute;top:-28px;right:0;cursor:pointer}} .article{width:100%}.movie-header{position:relative;margin-bottom:40px;display:flex;flex-direction:row;align-items:flex-start}.movie-header .figure{position:relative;aspect-ratio:.66666667;display:flex;justify-content:center;align-items:center;background-color:#222;color:#fff;width:250px;flex:0 0 250px;overflow:hidden;margin-right:20px}.movie-header .figure .img{position:absolute;top:0;left:0;width:100%;height:100%;object-fit:cover}.movie-title-container{margin:0 auto;z-index:1;flex:1 1 100%;overflow:hidden}.movie-title-container .title{border-top:4px solid #001c4c;border-bottom:1px solid #ccc;font-weight:bold;font-size:36px;line-height:38px;margin:0;padding:10px 0;margin-bottom:20px;color:#001c4c;text-transform:uppercase}.movie-title-container .author-name{margin-bottom:30px}.movie-title-container .author-name a{font-weight:normal;text-transform:uppercase}.movie-title-container .categories{position:absolute;bottom:0;margin-bottom:0}.movie-title-container .categories-relative{position:relative}.movie-title-container .categories a{margin-bottom:10px;margin-right:5px}.movie-title-container .tagline{margin-bottom:20px}.movie-buttons{display:flex;align-items:center;margin-bottom:20px}.movie-buttons .btn-buy{font-size:20px;line-height:1;font-family:sans-serif;font-weight:normal;text-transform:uppercase;height:60px;justify-content:center;align-items:center;display:flex;padding:0 30px;border-radius:30px}.movie-buttons .discountPercentage{font-size:22px;line-height:22px;font-weight:bold;color:green}.movie-container{display:flex;flex-direction:row}.movie-body{margin:0;width:780px;flex:0 0 780px;overflow:hidden}.aside-container{text-align:right;width:320px;flex:0 0 320px;position:relative;margin-left:40px}.providers{width:100%}.providers .provider-container{margin-bottom:20px}.providers a{margin-right:10px;display:inline-block}.providers a:last-child{margin-right:0}.providers img{width:55px;height:55px;border-radius:5px}.providers .provider-type{display:block;background:#eaede2;padding:5px;margin-bottom:10px;font-weight:bold}.providers .provider-container:last-child{margin-bottom:0}.movie-info .row-info{display:flex;flex-direction:row;margin-top:10px;margin-bottom:10px}.movie-info .col-title{font-size:18px;line-height:24px;width:40%;flex:0 0 40%;display:flex;align-items:center;margin:0;font-weight:normal}.movie-info .col-title .icon{display:flex;margin-right:5px}.movie-info .col-title .icon svg{width:20px;height:20px}.movie-info .col-value{width:60%;flex:0 0 60%}.movie-info .col-value p{padding:0;margin:0}.movie-info .col-value .link{white-space:nowrap;text-overflow:ellipsis;display:block;overflow:hidden}.movie-share{position:fixed;bottom:10px;right:10px;z-index:1000}.movie-share .btn{font-size:25px;line-height:25px;padding:0;border-radius:50% !important;width:60px;height:60px;display:flex;justify-content:center;align-items:center;background:#064cc3}.movie-share .btn svg{width:30px;height:30px;fill:#fff}.circle-wrap{width:60px;height:60px;background:#ccc;border-radius:50%;margin:0 15px 0 0;z-index:1}.circle-wrap .circle{position:relative}.circle-wrap .circle .mask,.circle-wrap .circle .fill{width:60px;height:60px;position:absolute;border-radius:50%}.mask .fill{clip:rect(0,30px,60px,0);background-color:#000}.circle-wrap .circle .mask{clip:rect(0,60px,60px,30px)}.circle-wrap .inside-circle{font-family:sans-serif;width:49px;height:49px;border-radius:50%;background:#064cc3;color:#fff;position:absolute;z-index:100;font-weight:700;font-size:18px;line-height:18px;top:5px;left:5px;display:flex;justify-content:center;align-items:center}@media(max-width:1024px){.movie-body{width:100%;flex:0 0 100%;overflow:unset}.movie-header{flex-direction:column}.movie-header .figure{margin:0;width:100%;flex:0 0 100%;background-color:transparent;aspect-ratio:unset;padding:20px 50px}.movie-header .figure .img{position:relative;height:auto;box-shadow:0 0 10px 0 #333}.movie-title-container{width:100%;margin:0;padding-left:15px;padding-right:15px;text-align:center}.movie-title-container .title{border-top:0;font-size:26px;line-height:30px;margin:0 0 20px 0}.movie-buttons{flex-direction:column;margin-bottom:30px;border-bottom:1px solid #ccc;padding-bottom:20px}.movie-buttons .btn-buy{margin-bottom:10px}.movie-title-container .categories{position:relative}.movie-container{margin:0;padding-left:15px;padding-right:15px}.movie-info .row-info{flex-direction:column}.movie-info .col-title,.movie-info .col-value p,.movie-info .col-value a{margin:0}.movie-info .col-title{width:100%;flex:0 0 100%;font-weight:600}.movie-info .col-value{width:100%;flex:0 0 100%}}
Esta obra va dirigida a estudiantes y profesionales de la ingeniería interesados en los principios básicos de las teorías de la Elasticidad, Plasticidad y Rotura conforme a los principios de la Mecánica del Medio Continuo Sólido. El libro abarca los contenidos siguientes: Planteamiento de los modelos matemáticos de equilibrio y cinemático para el volumen elemental representativo del medio continuo utilizando las variables internas de intensidad de fuerzas (tensiones) y la variación relativa de distancias entre puntos (deformaciones longitudinales y angulares). Formulación de las relaciones entre tensiones y deformaciones en materiales de comportamiento elástico lineal y teoremas generales asociados a la continuidad, el equilibrio, la reversibilidad y la linealidad. Aplicaciones de la Elasticidad: propagación de ondas, tracción, flexión y torsión de barras, problemas planos y torsión generalizada. Fenomenología y modelización matemática de la Plasticidad: aplicaciones en sistemas de barras articuladas y en flexión de vigas. Análisis límite de estructuras. Plasticidad en 3D. Criterios de fluencia y leyes de flujo. Fenomenología de la Rotura: aplicación del modelo de medio continuo a la formulación de las modalidades de rotura por inestabilidad plástica, fatiga y rotura frágil. Se incluyen numerosas y elaboradas figuras muchas de ellas a color, así como problemas pedagógicos y aplicaciones basadas en experiencias reales de laboratorio.
José Manuel Casteleiro Villalba
Catedrático de Aeronaves, Misiles y Resistencia de Materiales de la Universidad Politécnica de Madrid.Es doctor ingeniero industrial,licenciado en Ciencias e ingeniero técnico aeronáutico. Ha sido director del departamento de Matemáticas de ESIC, ha trabajado como ingeniero de Diseño Estructural en el INTA, donde como director técnico ha participado en diversos proyectos espaciales como el laboratorio espacial Spacelab, el satélite Olimpus, la plataforma geoestacionaria Eureka, así como en el primer nanosatélite que da servicio a la base científica en la Antártida. Es autor de Introducción al álgebra lineal, Introducción al análisis matemático I y II, La matemática es fácil y coautor de Cálculo integral.
Ver ficha de José Manuel Casteleiro Villalba »