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 es la segunda de una serie sobre Mecánica del Sólido Deformable, y va dirigida a estudiantes y profesionales de la ingeniería interesados en los principios básicos de la teoría de la Plasticidad. Se parte de un enfoque fenomenológico del ensayo de tracción, se modeliza matemáticamente el comportamiento del material con las funciones potenciales asociadas a los modelos analógicos de resortes y patines de fricción y conti-núa con las aplicaciones a estructuras simples sometidas a tracción y flexión basadas en los teoremas energéticos asociados al equilibrio y se aborda la Plasticidad en 3D formulando los criterios de fluencia, los principios de normalidad y convexidad y las leyes de flujo. Se incluyen numerosas y elaboradas figuras, así como problemas ilustrativos intercalados que siguen rigurosamente la línea argumental del texto. El anexo final contiene ensayos de tracción, torsión, flexión y fotoplasticidad y un caso estructural simple con instrumentación de extensometría eléctrica.
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 »