{"id":5833,"date":"2024-07-15T07:17:13","date_gmt":"2024-07-15T07:17:13","guid":{"rendered":"https:\/\/ikv-aachen.de\/student-research-theses\/implementation-of-an-fft-methodology-for-micromechanical-fe-models-for-material-simulation-of-multiphase-plastics\/"},"modified":"2025-01-21T09:36:57","modified_gmt":"2025-01-21T09:36:57","slug":"implementation-of-an-fft-methodology-for-micromechanical-fe-models-for-material-simulation-of-multiphase-plastics","status":"publish","type":"cpt_ikv_srt","link":"https:\/\/ikv-aachen.de\/en\/student-research-theses\/implementation-of-an-fft-methodology-for-micromechanical-fe-models-for-material-simulation-of-multiphase-plastics\/","title":{"rendered":"Implementation of an FFT methodology for micromechanical FE models for material simulation of multiphase plastics"},"content":{"rendered":"<style type=\"text\/css\">\n    #single-header-block_4aa2c87185b092e310bc2f76dd7fb35d .swiperThumbsNavi .swiper-slide {\n        opacity: 0.4;\n    }\n\n    #single-header-block_4aa2c87185b092e310bc2f76dd7fb35d .swiperThumbsNavi .swiper-slide-thumb-active {\n        opacity: 1;\n    }\n<\/style>\n    <section id=\"single-header-block_4aa2c87185b092e310bc2f76dd7fb35d\" class=\"block-single-header theGridWrapper \">\n        <div class=\"theGrid12\">\n            <div class=\" col-start-2 col-span-10 md:col-start-3  md:col-span-8\">\n                <h2 class=\"font-serif font-semibold text-blue text-sm w-4\/5\">\n                    Bachelor- or Master thesis                <\/h2>\n                                                    <div class=\"skewToMiddle\">\n                        <div class=\"relative  text-blue text-sm font after:border-2  after:border-blue rounded-xl bg-green-lighter  p-base -rotate-6 my-xl  after:block after:absolute after:w-full after:h-full after: after:-z-10 after:rounded-xl after:rotate-1  after:box-content  after:-top-2xs after:-left-2xs after:bg-blend-multiply  leading-snug \">\n                            <div class=\"skewToMiddleInner\">\n                                The aim of the project work is to implement a solution methodology that enables the solution of the constitutive equations for nonlinear distortion and stress analysis using the FFT. This implemented solution methodology should be able to process the FE models generated by the existing RVE generator. The results are to be validated by comparing the calculated stress and distortion values with the conventional, implicit FEM.                            <\/div>\n                        <\/div>\n                    <\/div>\n                            <\/div>\n        <\/div>\n    <\/section>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Topic of the work:<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Plastics can be mixed with a filler such as fibers to improve their mechanical properties. Depending on the processing method, however, a typical material morphology results at the micro level, which strongly influences the macroscopic properties. For the prediction and investigation of these properties, finite element models are used, which represent the matrix material and the inclusions in the micro level. However, the solution of such models with implicit calculation methods is very time-consuming and cost-intensive due to the required model size, as these solution methods scale quadratically with the degrees of freedom and thus the number of elements of the model. With the fast Fourier transform (FFT), a mathematical method was developed that shows a solution methodology for this problem class that scales only slightly with the number of elements of the model. This means that stress and distortion analyses can also be carried out for large models in a reasonable amount of time.<br>With a thesis at IKV, you have the opportunity to acquire comprehensive knowledge in the field of numerical problem solving and to implement the knowledge acquired during your studies in a practical way.<\/p>\n\n\n<figure class=\" relative flex flex-col gap-2xs mb-xs md:mb-l xl:mb-xl items-center justify-center before:absolute before:top-0 before:bottom-0 before:left-[var(--space-xs)] before:right-[var(--space-xs)] before:-z-10 py-xs \"><img decoding=\"async\" style='width: 938px;height: 715px;' class=\"for_tiny \"  src=\"https:\/\/ikv-aachen.de\/wp-content\/uploads\/2024\/07\/Stuwi-FFT-Methodik.png\" srcset=\"https:\/\/ikv-aachen.de\/wp-content\/uploads\/2024\/07\/Stuwi-FFT-Methodik.png 938w, https:\/\/ikv-aachen.de\/wp-content\/uploads\/2024\/07\/Stuwi-FFT-Methodik-748x570.png 748w, https:\/\/ikv-aachen.de\/wp-content\/uploads\/2024\/07\/Stuwi-FFT-Methodik-768x585.png 768w\" sizes=\"auto, (max-width: 1536px) 100vw, 1536px\" width=\"938\" height=\"715\" alt=\"Stuwi FFT-Methodik\" loading=\"lazy\" \/><span class=\" text-copyright order-3 justify-end text-right w-full  px-xs for_tiny\">&copy; IKV<\/span><figcaption class=\"for_tiny text-figcaption justify-end text-right  px-xs \">The calculation of large models with nonlinear material behavior leads to long computation times with implicit FEM.<\/figcaption><\/figure>\n\n\n<h2 class=\"wp-block-heading\"><strong>The work is related to this research project:<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The mechanical properties of multiphase plastics resulting from the manufacturing process cannot yet be fully described. This is mainly due to the fact that the interactions of the constituents at the micro level are difficult to characterize experimentally. However, the models required to analyze these interactions cannot be solved in a reasonable amount of time, so that some effects such as material fatigue or the formation of residual stresses can only be taken into account with a high degree of certainty during component development. As part of the working group, you will contribute to research into mechanical interactions and thus support IKV in making the use of plastics as a construction material safe and sustainable.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Objective:<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The aim of the project work is to implement a solution methodology that enables the solution of the constitutive equations for nonlinear distortion and stress analysis using the FFT. This implemented solution methodology should be able to process the FE models generated by the existing RVE generator. The results are to be validated by comparing the calculated stress and distortion values with the conventional, implicit FEM.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Your task:<\/strong><\/h2>\n\n\n<style type=\"text\/css\">#table-from-csv-block_502528be3f3a0355310ad79ed1c961e8 table:not(thead) td:before { content: attr(data-col-name); }\n<\/style><section id=\"table-from-csv-block_502528be3f3a0355310ad79ed1c961e8\" class=\"block-table-from-csv theGridWrapper  text-sm   \">\n\n<table class='w-full gap-xs hyphens-none text-wrap '>\n\n<thead class='font-semibold font-serif hidden text-blue  lg:table-row-group'>\n\t<tr class=' flex flex-col mt-xs lg:border-t border-dashed first:border-none lg:border-white lg:table-row tableToNormal   '>\n\t\t<td class='grid grid-cols-2 gap-xs lg:table-cell before:block lg:before:hidden first:pl-2xs last:pr-2xs   before:text-right before:font-semibold before:font-serif align-top  py-3xs ' data-col-name='For a Bachelor's thesis you will work on the following tasks' >For a Bachelor&#039;s thesis you will work on the following tasks<\/td>\n\t\t<td class='grid grid-cols-2 gap-xs lg:table-cell before:block lg:before:hidden first:pl-2xs last:pr-2xs   before:text-right before:font-semibold before:font-serif align-top  py-3xs ' data-col-name=' For a Master's thesis you will work on the following tasks  ' > For a Master&#039;s thesis you will work on the following tasks  <\/td>\n<\/tr>\n<\/thead><tbody>\n\t<tr class=' flex flex-col mt-xs lg:border-t border-dashed first:border-none lg:border-white lg:table-row tableToNormal     odd:bg-green-lighter even:bg-green-lightest py-xs '>\n\t\t<td class='grid grid-cols-2 gap-xs lg:table-cell before:block lg:before:hidden first:pl-2xs last:pr-2xs   before:text-right before:font-semibold before:font-serif align-top  py-3xs ' data-col-name='For a Bachelor's thesis you will work on the following tasks' >Familiarization with and literature research into the finite element and FFT methods as well as existing micro-models<\/td>\n\t\t<td class='grid grid-cols-2 gap-xs lg:table-cell before:block lg:before:hidden first:pl-2xs last:pr-2xs   before:text-right before:font-semibold before:font-serif align-top  py-3xs ' data-col-name=' For a Master's thesis you will work on the following tasks  ' > Familiarization with and literature research into the finite element and FFT methods as well as existing micro-models<\/td>\n\t<\/tr>\n\t<tr class=' flex flex-col mt-xs lg:border-t border-dashed first:border-none lg:border-white lg:table-row tableToNormal     odd:bg-green-lighter even:bg-green-lightest py-xs '>\n\t\t<td class='grid grid-cols-2 gap-xs lg:table-cell before:block lg:before:hidden first:pl-2xs last:pr-2xs   before:text-right before:font-semibold before:font-serif align-top  py-3xs ' data-col-name='For a Bachelor's thesis you will work on the following tasks' >Research and implementation of a solution methodology for nonlinear material behavior in an already existing FFT solver<\/td>\n\t\t<td class='grid grid-cols-2 gap-xs lg:table-cell before:block lg:before:hidden first:pl-2xs last:pr-2xs   before:text-right before:font-semibold before:font-serif align-top  py-3xs ' data-col-name=' For a Master's thesis you will work on the following tasks  ' > Research and implementation of a solution methodology for nonlinear material behavior in an already existing FFT solver<\/td>\n\t<\/tr>\n\t<tr class=' flex flex-col mt-xs lg:border-t border-dashed first:border-none lg:border-white lg:table-row tableToNormal     odd:bg-green-lighter even:bg-green-lightest py-xs '>\n\t\t<td class='grid grid-cols-2 gap-xs lg:table-cell before:block lg:before:hidden first:pl-2xs last:pr-2xs   before:text-right before:font-semibold before:font-serif align-top  py-3xs ' data-col-name='For a Bachelor's thesis you will work on the following tasks' >Validation of the calculation results for small micromechanical models by comparing them with the implicit FEM<\/td>\n\t\t<td class='grid grid-cols-2 gap-xs lg:table-cell before:block lg:before:hidden first:pl-2xs last:pr-2xs   before:text-right before:font-semibold before:font-serif align-top  py-3xs ' data-col-name=' For a Master's thesis you will work on the following tasks  ' > Validation of the calculation results for small micromechanical models by comparing them with the implicit FEM<\/td>\n\t<\/tr>\n\t<tr class=' flex flex-col mt-xs lg:border-t border-dashed first:border-none lg:border-white lg:table-row tableToNormal     odd:bg-green-lighter even:bg-green-lightest py-xs '>\n\t\t<td class='grid grid-cols-2 gap-xs lg:table-cell before:block lg:before:hidden first:pl-2xs last:pr-2xs   before:text-right before:font-semibold before:font-serif align-top  py-3xs ' data-col-name='For a Bachelor's thesis you will work on the following tasks' >  <\/td>\n\t\t<td class='grid grid-cols-2 gap-xs lg:table-cell before:block lg:before:hidden first:pl-2xs last:pr-2xs   before:text-right before:font-semibold before:font-serif align-top  py-3xs ' data-col-name=' For a Master's thesis you will work on the following tasks  ' > Code optimization for the calculation of large models using techniques such as multithreading and parallelization<\/td>\n\t<\/tr>\n\n<\/tbody>\n<\/table>\n\n<\/section>\n\n\n<h2 class=\"wp-block-heading\"><strong>Your profile:<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Enrolled student of a STEM subject<\/li>\n\n\n\n<li>Independent and quality-conscious way of working<\/li>\n\n\n\n<li>Interest in programming and simulation<\/li>\n\n\n\n<li>Ideally initial experience in solver development<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Has this vacancy piqued your interest?<br>Then apply!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The aim of the project work is to implement a solution methodology that enables the solution of the constitutive equations for nonlinear distortion and stress analysis using the FFT. This implemented solution methodology should be able to process the FE models generated by the existing RVE generator. The results are to be validated by comparing the calculated stress and distortion values with the conventional, implicit FEM.<\/p>\n","protected":false},"featured_media":2286,"parent":0,"template":"","srtk":[807,808],"research_fields":[809,817],"esl":[685],"class_list":["post-5833","cpt_ikv_srt","type-cpt_ikv_srt","status-publish","has-post-thumbnail","hentry","srtk-bachelor-thesis","srtk-master-thesis","research_fields-fiber-reinforced-plastics","research_fields-materials-technology","esl-simulative"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Implementation of an FFT methodology for micromechanical FE models for material simulation of multiphase plastics | IKV-Aachen<\/title>\n<meta name=\"description\" content=\"The aim of the work is to implement an FFT solver for the calculation of large micromodels.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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