@article{MostBucher, author = {Most, Thomas and Bucher, Christian}, title = {Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization}, series = {International Journal for Numerical and Analytical Methods in Geomechanics}, journal = {International Journal for Numerical and Analytical Methods in Geomechanics}, pages = {285 -- 305}, abstract = {Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization}, subject = {Angewandte Mathematik}, language = {en} } @article{MostIshiiGengetal., author = {Most, Thomas and Ishii, H. and Geng, X. and Bolzern, P. and Colaneri, P. and De Nicolao, G.}, title = {Discussion on Almost sure stability of stochastic linear systems with ergodic parameters}, series = {European Journal of Control}, journal = {European Journal of Control}, pages = {124 -- 130}, abstract = {Discussion on Almost sure stability of stochastic linear systems with ergodic parameters}, subject = {Angewandte Mathematik}, language = {en} } @article{MostBucher, author = {Most, Thomas and Bucher, Christian}, title = {New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares}, series = {Engineering Analysis with Boundary Elements}, journal = {Engineering Analysis with Boundary Elements}, pages = {461 -- 470}, abstract = {New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares}, subject = {Angewandte Mathematik}, language = {en} } @article{Most, author = {Most, Thomas}, title = {A natural neighbour-based moving least-squares approach for the element-free Galerkin method}, series = {International Journal for Numerical Methods in Engineering}, journal = {International Journal for Numerical Methods in Engineering}, pages = {224 -- 252}, abstract = {A natural neighbour-based moving least-squares approach for the element-free Galerkin method}, subject = {Angewandte Mathematik}, language = {en} } @article{MostBucher, author = {Most, Thomas and Bucher, Christian}, title = {Probabilistic analysis of concrete cracking using neural networks and random fields}, series = {Probabilistic Engineering Mechanics}, journal = {Probabilistic Engineering Mechanics}, pages = {219 -- 229}, abstract = {Probabilistic analysis of concrete cracking using neural networks and random fields}, subject = {Angewandte Mathematik}, language = {en} } @article{BucherMost, author = {Bucher, Christian and Most, Thomas}, title = {A comparison of approximate response functions in structural reliability analysis}, series = {Probabilistic Engineering Mechanics}, journal = {Probabilistic Engineering Mechanics}, pages = {154 -- 163}, abstract = {A comparison of approximate response functions in structural reliability analysis}, subject = {Angewandte Mathematik}, language = {en} } @article{MostBucherSchorling, author = {Most, Thomas and Bucher, Christian and Schorling, York}, title = {Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading}, series = {Journal of Sound and Vibration}, journal = {Journal of Sound and Vibration}, pages = {381 -- 400}, abstract = {Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading}, subject = {Angewandte Mathematik}, language = {en} } @article{MostBucher, author = {Most, Thomas and Bucher, Christian}, title = {Stochastic simulation of cracking in concrete structures using multi-parameter random fields}, series = {International Journal of Reliability and Safety}, journal = {International Journal of Reliability and Safety}, pages = {168 -- 187}, abstract = {Stochastic simulation of cracking in concrete structures using multi-parameter random fields}, subject = {Angewandte Mathematik}, language = {en} } @inproceedings{MostEckardtSchraderetal., author = {Most, Thomas and Eckardt, Stefan and Schrader, Kai and Deckner, T.}, title = {AN IMPROVED COHESIVE CRACK MODEL FOR COMBINED CRACK OPENING AND SLIDING UNDER CYCLIC LOADING}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2993}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29933}, pages = {20}, abstract = {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.}, subject = {Architektur }, language = {en} } @article{MostBucher, author = {Most, Thomas and Bucher, Christian}, title = {A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions}, series = {Structural Engineering and Mechanics}, journal = {Structural Engineering and Mechanics}, pages = {315 -- 332}, abstract = {A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions}, subject = {Angewandte Mathematik}, language = {en} }