@article{KoenkeEckardtHaefneretal., author = {K{\"o}nke, Carsten and Eckardt, Stefan and H{\"a}fner, Stefan and Luther, Torsten and Unger, J{\"o}rg F.}, title = {Multiscale simulation methods in damage prediction of brittle and ductile materials}, series = {International Journal for Multiscale Computational Engineering}, journal = {International Journal for Multiscale Computational Engineering}, pages = {17 -- 36}, abstract = {Multiscale simulation methods in damage prediction of brittle and ductile materials}, subject = {Angewandte Mathematik}, language = {en} } @article{HaefnerEckardtLutheretal., author = {H{\"a}fner, Stefan and Eckardt, Stefan and Luther, Torsten and K{\"o}nke, Carsten}, title = {Mesoscale modeling of concrete: Geometry and numerics}, series = {Computers and Structures}, journal = {Computers and Structures}, pages = {450 -- 461}, abstract = {Mesoscale modeling of concrete: Geometry and numerics}, subject = {Angewandte Mathematik}, language = {en} } @inproceedings{HaefnerEckardtKoenke2003, author = {H{\"a}fner, Stefan and Eckardt, Stefan and K{\"o}nke, Carsten}, title = {A geometrical inclusion-matrix model for the finite element analysis of concrete at multiple scales}, doi = {10.25643/bauhaus-universitaet.301}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-3018}, year = {2003}, abstract = {This paper introduces a method to generate adequate inclusion-matrix geometries of concrete in two and three dimensions, which are independent of any specific numerical discretization. The article starts with an analysis on shapes of natural aggregates and discusses corresponding mathematical realizations. As a first prototype a two-dimensional generation of a mesoscale model is introduced. Particle size distribution functions are analysed and prepared for simulating an adequate three-dimensional representation of the aggregates within a concrete structure. A sample geometry of a three-dimensional test cube is generated and the finite element analysis of its heterogeneous geometry by a uniform mesh is presented. Concluding, aspects of a multiscale analysis are discussed and possible enhancements are proposed.}, subject = {Beton}, language = {en} }