{"id":30209,"date":"2020-08-21T12:54:27","date_gmt":"2020-08-21T12:54:27","guid":{"rendered":"http:\/\/tugraztestweb.asol.at\/gesamtverzeichnis\/unkategorisiert\/infinite-elements-for-elasto-and-poroelastodynamics-2\/"},"modified":"2020-08-21T14:55:27","modified_gmt":"2020-08-21T12:55:27","slug":"infinite-elements-for-elasto-and-poroelastodynamics-ebook","status":"publish","type":"product","link":"https:\/\/tugraztestweb.asol.at\/en\/gesamtverzeichnis\/bauingenieurwissenschaften\/infinite-elements-for-elasto-and-poroelastodynamics-ebook\/","title":{"rendered":"Infinite Elements for Elasto- and Poroelastodynamics"},"content":{"rendered":"

Sorry, this entry is only available in Deutsch<\/a>.<\/p>

Wave propagation phenomena in unbounded domains occur in many
\nengineering applications, e.g., soil structure interactions. The
\nconsidered problem is often modeled by the theory of elasticity which is
\n in some applications a sufficient accurate approximation. Nevertheless,
\n the interaction of the solid- and the fluid phase attribute a time
\ndependent character to the mechanical response of the saturated soil,
\nwhich can be modeled by Biot\u2018s theory of poroelasticity. When simulating
\n unbounded domains, infinite elements are a possible choice to describe
\nthe far field behavior, whereas the near field is described through
\nconventional finite elements. Hence, an infinite element is presented to
\n treat wave propagation problems in unbounded elastic and saturated
\nporous media. Infinite elements are based on special shape functions to
\napproximate the semi-infinite geometry as well as the Sommerfeld
\nradiation condition, i.e., the waves decay with distance and are not
\nreflected at infinity. To provide the wave information the infinite
\nelements are formulated in Laplace domain. The time domain solution is
\nobtained by using the convolution quadrature method as inverse Laplace
\ntransformation. The temporal behavior of the near field is calculated
\nusing a standard time integration scheme, i.e., the Newmark-method.
\nFinally, the near- and far field are combined using a substructure
\ntechnique in any time step. The accuracy as well as the necessity of the
\n proposed infinite elements, when unbounded domains are considered, is
\ndemonstrated with different examples.<\/p>","protected":false},"excerpt":{"rendered":"

Sorry, this entry is only available in Deutsch<\/a>.<\/p>\n

Wave propagation phenomena in unbounded domains occur in many
\nengineering applications, e.g., soil structure interactions. The
\nconsidered problem is often modeled by the theory of elasticity which is
\n in some applications a sufficient accurate approximation. Nevertheless,
\n the interaction of the solid- and the fluid phase attribute a time
\ndependent character to the mechanical response of the saturated soil,
\nwhich can be modeled by Biot\u2018s theory of poroelasticity. When simulating
\n unbounded domains, infinite elements are a possible choice to describe
\nthe far field behavior, whereas the near field is described through
\nconventional finite elements. Hence, an infinite element is presented to
\n treat wave propagation problems in unbounded elastic and saturated
\nporous media. Infinite elements are based on special shape functions to
\napproximate the semi-infinite geometry as well as the Sommerfeld
\nradiation condition, i.e., the waves decay with distance and are not
\nreflected at infinity. To provide the wave information the infinite
\nelements are formulated in Laplace domain. The time domain solution is
\nobtained by using the convolution quadrature method as inverse Laplace
\ntransformation. The temporal behavior of the near field is calculated
\nusing a standard time integration scheme, i.e., the Newmark-method.
\nFinally, the near- and far field are combined using a substructure
\ntechnique in any time step. The accuracy as well as the necessity of the
\n proposed infinite elements, when unbounded domains are considered, is
\ndemonstrated with different examples.<\/p>\n","protected":false},"featured_media":39827,"comment_status":"open","ping_status":"closed","template":"","meta":[],"yoast_head":"\n\n\n\n\n\n\n\n\n\n\t\n\t\n\n\n\t\n