TY - JOUR A1 - Most, Thomas A1 - Bucher, Christian T1 - Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization JF - International Journal for Numerical and Analytical Methods in Geomechanics N2 - Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2007 SP - 285 EP - 305 ER - TY - JOUR A1 - Most, Thomas A1 - Ishii, H. A1 - Geng, X. A1 - Bolzern, P. A1 - Colaneri, P. A1 - De Nicolao, G. T1 - Discussion on Almost sure stability of stochastic linear systems with ergodic parameters JF - European Journal of Control N2 - Discussion on Almost sure stability of stochastic linear systems with ergodic parameters KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2008 SP - 124 EP - 130 ER - TY - JOUR A1 - Most, Thomas A1 - Bucher, Christian T1 - New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares JF - Engineering Analysis with Boundary Elements N2 - New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2008 SP - 461 EP - 470 ER - TY - JOUR A1 - Most, Thomas T1 - A natural neighbour-based moving least-squares approach for the element-free Galerkin method JF - International Journal for Numerical Methods in Engineering N2 - A natural neighbour-based moving least-squares approach for the element-free Galerkin method KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2007 SP - 224 EP - 252 ER - TY - JOUR A1 - Most, Thomas A1 - Bucher, Christian T1 - Probabilistic analysis of concrete cracking using neural networks and random fields JF - Probabilistic Engineering Mechanics N2 - Probabilistic analysis of concrete cracking using neural networks and random fields KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2007 SP - 219 EP - 229 ER - TY - JOUR A1 - Bucher, Christian A1 - Most, Thomas T1 - A comparison of approximate response functions in structural reliability analysis JF - Probabilistic Engineering Mechanics N2 - A comparison of approximate response functions in structural reliability analysis KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2008 SP - 154 EP - 163 ER - TY - JOUR A1 - Most, Thomas A1 - Bucher, Christian A1 - Schorling, York T1 - Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading JF - Journal of Sound and Vibration N2 - Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2004 SP - 381 EP - 400 ER - TY - JOUR A1 - Most, Thomas A1 - Bucher, Christian T1 - Stochastic simulation of cracking in concrete structures using multi-parameter random fields JF - International Journal of Reliability and Safety N2 - Stochastic simulation of cracking in concrete structures using multi-parameter random fields KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2006 SP - 168 EP - 187 ER - TY - CHAP A1 - Most, Thomas A1 - Eckardt, Stefan A1 - Schrader, Kai A1 - Deckner, T. ED - Gürlebeck, Klaus ED - Könke, Carsten T1 - AN IMPROVED COHESIVE CRACK MODEL FOR COMBINED CRACK OPENING AND SLIDING UNDER CYCLIC LOADING N2 - The modeling of crack propagation in plain and reinforced concrete structures is still a field for many researchers. If a macroscopic description of the cohesive cracking process of concrete is applied, generally the Fictitious Crack Model is utilized, where a force transmission over micro cracks is assumed. In the most applications of this concept the cohesive model represents the relation between the normal crack opening and the normal stress, which is mostly defined as an exponential softening function, independently from the shear stresses in tangential direction. The cohesive forces are then calculated only from the normal stresses. By Carol et al. 1997 an improved model was developed using a coupled relation between the normal and shear damage based on an elasto-plastic constitutive formulation. This model is based on a hyperbolic yield surface depending on the normal and the shear stresses and on the tensile and shear strength. This model also represents the effect of shear traction induced crack opening. Due to the elasto-plastic formulation, where the inelastic crack opening is represented by plastic strains, this model is limited for applications with monotonic loading. In order to enable the application for cases with un- and reloading the existing model is extended in this study using a combined plastic-damage formulation, which enables the modeling of crack opening and crack closure. Furthermore the corresponding algorithmic implementation using a return mapping approach is presented and the model is verified by means of several numerical examples. Finally an investigation concerning the identification of the model parameters by means of neural networks is presented. In this analysis an inverse approximation of the model parameters is performed by using a given set of points of the load displacement curves as input values and the model parameters as output terms. It will be shown, that the elasto-plastic model parameters could be identified well with this approach, but require a huge number of simulations. KW - Architektur KW - CAD KW - Computerunterstütztes Verfahren Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170327-29933 UR - http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html ER - TY - JOUR A1 - Most, Thomas A1 - Bucher, Christian T1 - A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions JF - Structural Engineering and Mechanics N2 - A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2005 SP - 315 EP - 332 ER -