[{"doi":"https://doi.org/10.1002/pamm.202300164","year":"2023","abstract":[{"text":"Abstract In this contribution, a method for goal-oriented reanalysis is presented. The process allows predicting the change in a quantity of interest due to structural modifications (design changes), for example, the shape, the topology, material properties, and so forth. The approach is based on a goal-oriented method using primal and dual problems. Furthermore, the procedure is easy to implement in existing finite element programs because no derivatives with respect to the design variables are necessary. The proposed method can be used in classical applications with successive design steps, such as structural optimization, reliability, or structural damage analysis. The repeated structural analysis and calculating quantities of interest involve significant computational effort. Goal-oriented reanalysis methods can reduce the overall computational cost in the numerical simulation.","lang":"eng"}],"publication_identifier":{"eissn":["1617-7061"]},"publisher":"Wiley-VCH","page":"e202300164","status":"public","article_type":"original","publication":"Proceedings in applied mathematics and mechanics : PAMM ","title":"Theoretical aspects and applications of goal-oriented reanalysis methods","publication_status":"epub_ahead","user_id":"61906","type":"scientific_journal_article","place":"  Weinheim","citation":{"havard":"D. Materna, Theoretical aspects and applications of goal-oriented reanalysis methods, Proceedings in Applied Mathematics and Mechanics : PAMM . 23 (2023) e202300164.","bjps":"<b>Materna D</b> (2023) Theoretical Aspects and Applications of Goal-Oriented Reanalysis Methods. <i>Proceedings in applied mathematics and mechanics : PAMM </i> <b>23</b>, e202300164.","ieee":"D. Materna, “Theoretical aspects and applications of goal-oriented reanalysis methods,” <i>Proceedings in applied mathematics and mechanics : PAMM </i>, vol. 23, no. 4, p. e202300164, 2023, doi: <a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>.","short":"D. Materna, Proceedings in Applied Mathematics and Mechanics : PAMM  23 (2023) e202300164.","ama":"Materna D. Theoretical aspects and applications of goal-oriented reanalysis methods. <i>Proceedings in applied mathematics and mechanics : PAMM </i>. 2023;23(4):e202300164. doi:<a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>","apa":"Materna, D. (2023). Theoretical aspects and applications of goal-oriented reanalysis methods. <i>Proceedings in Applied Mathematics and Mechanics : PAMM </i>, <i>23</i>(4), e202300164. <a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>","din1505-2-1":"<span style=\"font-variant:small-caps;\">Materna, Daniel</span>: Theoretical aspects and applications of goal-oriented reanalysis methods. In: <i>Proceedings in applied mathematics and mechanics : PAMM </i> Bd. 23.   Weinheim, Wiley-VCH (2023), Nr. 4, S. e202300164","mla":"Materna, Daniel. “Theoretical Aspects and Applications of Goal-Oriented Reanalysis Methods.” <i>Proceedings in Applied Mathematics and Mechanics : PAMM </i>, vol. 23, no. 4, 2023, p. e202300164, <a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>.","van":"Materna D. Theoretical aspects and applications of goal-oriented reanalysis methods. Proceedings in applied mathematics and mechanics : PAMM . 2023;23(4):e202300164.","ufg":"<b>Materna, Daniel</b>: Theoretical aspects and applications of goal-oriented reanalysis methods, in: <i>Proceedings in applied mathematics and mechanics : PAMM </i> 23 (2023), H. 4,  S. e202300164.","chicago":"Materna, Daniel. “Theoretical Aspects and Applications of Goal-Oriented Reanalysis Methods.” <i>Proceedings in Applied Mathematics and Mechanics : PAMM </i> 23, no. 4 (2023): e202300164. <a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>.","chicago-de":"Materna, Daniel. 2023. Theoretical aspects and applications of goal-oriented reanalysis methods. <i>Proceedings in applied mathematics and mechanics : PAMM </i> 23, Nr. 4: e202300164. doi:<a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>, ."},"author":[{"first_name":"Daniel","last_name":"Materna","id":"61906","full_name":"Materna, Daniel"}],"main_file_link":[{"url":"https://onlinelibrary.wiley.com/doi/10.1002/pamm.202300164","open_access":"1"}],"volume":23,"date_created":"2023-10-26T16:48:01Z","language":[{"iso":"eng"}],"_id":"10609","issue":"4","intvolume":"        23","date_updated":"2025-02-28T13:04:51Z","department":[{"_id":"DEP3020"}],"oa":"1","quality_controlled":"1"},{"related_material":{"link":[{"url":"https://jahrestagung.gamm.org/wp-content/uploads/2023/05/20230517_BookofAbstracts_final_red.pdf","relation":"confirmation"}]},"conference":{"end_date":"2023-06-02","start_date":"2023-05-30","name":"93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023","location":"Dresden"},"department":[{"_id":"DEP3000"},{"_id":"DEP3020"}],"date_updated":"2025-06-12T13:41:40Z","intvolume":"        23","issue":"4","_id":"12614","language":[{"iso":"eng"}],"date_created":"2025-02-28T10:57:21Z","volume":23,"author":[{"id":"61906","full_name":"Materna, Daniel","last_name":"Materna","first_name":"Daniel"}],"type":"conference_speech","citation":{"short":"D. Materna, Theoretical Aspects and Applications of Goal-Oriented Reanalysis Methods, Wiley, 2023.","ama":"Materna D. <i>Theoretical Aspects and Applications of Goal-Oriented Reanalysis Methods</i>. Vol 23. Wiley; 2023. doi:<a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>","apa":"Materna, D. (2023). Theoretical aspects and applications of goal-oriented reanalysis methods. In <i>93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023</i> (Vol. 23, Issue 4). Wiley. <a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>","havard":"D. Materna, Theoretical aspects and applications of goal-oriented reanalysis methods, Wiley, 2023.","bjps":"<b>Materna D</b> (2023) <i>Theoretical Aspects and Applications of Goal-Oriented Reanalysis Methods</i>. Wiley.","ieee":"D. Materna, <i>Theoretical aspects and applications of goal-oriented reanalysis methods</i>, vol. 23, no. 4. Wiley, 2023. doi: <a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>.","van":"Materna D. Theoretical aspects and applications of goal-oriented reanalysis methods. 93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023. Wiley; 2023. (Proceedings in applied mathematics and mechanics : PAMM; vol. 23).","ufg":"<b>Materna, Daniel</b>: Theoretical aspects and applications of goal-oriented reanalysis methods, Bd. 23, o. O. 2023 (Proceedings in applied mathematics and mechanics : PAMM).","chicago":"Materna, Daniel. <i>Theoretical Aspects and Applications of Goal-Oriented Reanalysis Methods</i>. <i>93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023</i>. Vol. 23. Proceedings in Applied Mathematics and Mechanics : PAMM. Wiley, 2023. <a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>.","chicago-de":"Materna, Daniel. 2023. <i>Theoretical aspects and applications of goal-oriented reanalysis methods</i>. <i>93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023</i>. Bd. 23. Proceedings in applied mathematics and mechanics : PAMM. Wiley. doi:<a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>, .","mla":"Materna, Daniel. “Theoretical Aspects and Applications of Goal-Oriented Reanalysis Methods.” <i>93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023</i>, vol. 23, no. 4, Wiley, 2023, <a href=\"https://doi.org/10.1002/pamm.202300164\">https://doi.org/10.1002/pamm.202300164</a>.","din1505-2-1":"<span style=\"font-variant:small-caps;\">Materna, Daniel</span>: <i>Theoretical aspects and applications of goal-oriented reanalysis methods</i>, <i>Proceedings in applied mathematics and mechanics : PAMM</i>. Bd. 23 : Wiley, 2023"},"user_id":"83781","publication_status":"published","title":"Theoretical aspects and applications of goal-oriented reanalysis methods","series_title":"Proceedings in applied mathematics and mechanics : PAMM","publication":"93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023","status":"public","publisher":"Wiley","doi":"https://doi.org/10.1002/pamm.202300164","year":"2023","abstract":[{"lang":"eng","text":"In this contribution a method for goal-oriented reanalysis is presented. The method allows the prediction of the change in a quantity of interest due to structural modifications (design changes), e.g. the shape, the topology, material properties, etc. The approach is based on a goal-oriented method by using the primal and dual problems. Furthermore, the method is easily to implement in existing finite element programs, because no derivatives with respect to the design variables are necessary. The proposed method can be used in classical applica-tions with successive design steps, for instance structural optimization, reliability analysis or structural damage analysis. In many cases hundreds or even thousands of different design configurations are investigated, and the state equation must be solved for each design step. The repeated structural analysis and the calculation of quantities of interest involves signifi-cant computational effort. Goal-oriented reanalysis methods can be used in order to reduce the overall computational cost in the numerical simulation."}],"publication_identifier":{"eissn":["1617-7061"]}},{"language":[{"iso":"eng"}],"_id":"12643","issue":"3","date_created":"2025-03-03T07:50:35Z","date_updated":"2025-06-12T13:36:04Z","intvolume":"        23","department":[{"_id":"DEP3000"},{"_id":"DEP3020"}],"conference":{"start_date":"2023-05-30","end_date":"2023-06-02","location":"Dresden","name":"93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023"},"doi":"https://doi.org/10.1002/pamm.202300177","year":"2023","publication_identifier":{"eissn":["1617-7061"]},"abstract":[{"lang":"eng","text":"Optimization of fiber-reinforced composite structures with nonlinear load-bearing behavior is a complex task that is becoming increasingly relevant in practice. Therefore, it is desirable to automatically determine essential influences on the structural behavior of fiber composite shells and stability-relevant objective functions and constraints in the context of structural optimization. This work deals with a variational approach for the derivation and computation of design sensitivities of elastic solid shell structures, as described in [1], and the extension to anisotropic layered composite structures. Design sensitivities concerning fiber angles and layer thicknesses are derived and quantitatively determined in the context of the finite ele-ment method (FEM). The anisotropic analysis model is founded on [2], in which a sophisti-cated solid-shell formulation based on reduced integration, as described in [3], is extended to discretize the composite with only one element over the whole thickness by means of mul-tiple integration points. This can be understood as a special case of equivalent-single-layer theories (ESLT). Examination of global stiffness and sensitivity matrices using methods from principal component analysis (PCA), such as singular value decomposition (SVD), are used to identify crucial design changes corresponding to major changes in the structural behavior of the composite. Results are discussed by referecne to a chosen numerical example."}],"publisher":"Wiley","status":"public","publication":"93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023","series_title":"  Proceedings in applied mathematics and mechanics : PAMM","publication_status":"published","user_id":"83781","title":"Gradient-based determination of principal design influences on composite structures","volume":23,"type":"conference_speech","citation":{"ieee":"J. Liedmann, F.-J. Barthold, and N. Gerzen, <i>Gradient-based determination of principal design influences on composite structures</i>, vol. 23, no. 3. Wiley, 2023. doi: <a href=\"https://doi.org/10.1002/pamm.202300177\">https://doi.org/10.1002/pamm.202300177</a>.","havard":"J. Liedmann, F.-J. Barthold, N. Gerzen, Gradient-based determination of principal design influences on composite structures, Wiley, 2023.","mla":"Liedmann, Jan, et al. “Gradient-Based Determination of Principal Design Influences on Composite Structures.” <i>93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023</i>, vol. 23, no. 3, Wiley, 2023, <a href=\"https://doi.org/10.1002/pamm.202300177\">https://doi.org/10.1002/pamm.202300177</a>.","bjps":"<b>Liedmann J, Barthold F-J and Gerzen N</b> (2023) <i>Gradient-Based Determination of Principal Design Influences on Composite Structures</i>. Wiley.","din1505-2-1":"<span style=\"font-variant:small-caps;\">Liedmann, Jan</span> ; <span style=\"font-variant:small-caps;\">Barthold, Franz-Joseph</span> ; <span style=\"font-variant:small-caps;\">Gerzen, Nikolai</span>: <i>Gradient-based determination of principal design influences on composite structures</i>, <i>  Proceedings in applied mathematics and mechanics : PAMM</i>. Bd. 23 : Wiley, 2023","ama":"Liedmann J, Barthold FJ, Gerzen N. <i>Gradient-Based Determination of Principal Design Influences on Composite Structures</i>. Vol 23. Wiley; 2023. doi:<a href=\"https://doi.org/10.1002/pamm.202300177\">https://doi.org/10.1002/pamm.202300177</a>","chicago":"Liedmann, Jan, Franz-Joseph Barthold, and Nikolai Gerzen. <i>Gradient-Based Determination of Principal Design Influences on Composite Structures</i>. <i>93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023</i>. Vol. 23.   Proceedings in Applied Mathematics and Mechanics : PAMM. Wiley, 2023. <a href=\"https://doi.org/10.1002/pamm.202300177\">https://doi.org/10.1002/pamm.202300177</a>.","apa":"Liedmann, J., Barthold, F.-J., &#38; Gerzen, N. (2023). Gradient-based determination of principal design influences on composite structures. In <i>93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023</i> (Vol. 23, Issue 3). Wiley. <a href=\"https://doi.org/10.1002/pamm.202300177\">https://doi.org/10.1002/pamm.202300177</a>","chicago-de":"Liedmann, Jan, Franz-Joseph Barthold und Nikolai Gerzen. 2023. <i>Gradient-based determination of principal design influences on composite structures</i>. <i>93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023</i>. Bd. 23.   Proceedings in applied mathematics and mechanics : PAMM. Wiley. doi:<a href=\"https://doi.org/10.1002/pamm.202300177\">https://doi.org/10.1002/pamm.202300177</a>, .","short":"J. Liedmann, F.-J. Barthold, N. Gerzen, Gradient-Based Determination of Principal Design Influences on Composite Structures, Wiley, 2023.","van":"Liedmann J, Barthold FJ, Gerzen N. Gradient-based determination of principal design influences on composite structures. 93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2023. Wiley; 2023. (  Proceedings in applied mathematics and mechanics : PAMM; vol. 23).","ufg":"<b>Liedmann, Jan/Barthold, Franz-Joseph/Gerzen, Nikolai</b>: Gradient-based determination of principal design influences on composite structures, Bd. 23, o. O. 2023 (  Proceedings in applied mathematics and mechanics : PAMM)."},"author":[{"first_name":"Jan","last_name":"Liedmann","full_name":"Liedmann, Jan"},{"full_name":"Barthold, Franz-Joseph","first_name":"Franz-Joseph","last_name":"Barthold"},{"first_name":"Nikolai","last_name":"Gerzen","full_name":"Gerzen, Nikolai","id":"76704"}]}]