---
_id: '10609'
abstract:
- lang: eng
  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.
article_type: original
author:
- first_name: Daniel
  full_name: Materna, Daniel
  id: '61906'
  last_name: Materna
citation:
  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>'
  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.'
  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>,
    .'
  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'
  havard: 'D. Materna, Theoretical aspects and applications of goal-oriented reanalysis
    methods, Proceedings in Applied Mathematics and Mechanics : PAMM . 23 (2023) 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>.'
  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>.'
  short: 'D. Materna, Proceedings in Applied Mathematics and Mechanics : PAMM  23
    (2023) 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.'
  van: 'Materna D. Theoretical aspects and applications of goal-oriented reanalysis
    methods. Proceedings in applied mathematics and mechanics : PAMM . 2023;23(4):e202300164.'
date_created: 2023-10-26T16:48:01Z
date_updated: 2025-02-28T13:04:51Z
department:
- _id: DEP3020
doi: https://doi.org/10.1002/pamm.202300164
intvolume: '        23'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://onlinelibrary.wiley.com/doi/10.1002/pamm.202300164
oa: '1'
page: e202300164
place: '  Weinheim'
publication: 'Proceedings in applied mathematics and mechanics : PAMM '
publication_identifier:
  eissn:
  - 1617-7061
publication_status: epub_ahead
publisher: Wiley-VCH
quality_controlled: '1'
status: public
title: Theoretical aspects and applications of goal-oriented reanalysis methods
type: scientific_journal_article
user_id: '61906'
volume: 23
year: '2023'
...
---
_id: '12614'
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.
author:
- first_name: Daniel
  full_name: Materna, Daniel
  id: '61906'
  last_name: Materna
citation:
  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>
  bjps: <b>Materna D</b> (2023) <i>Theoretical Aspects and Applications of Goal-Oriented
    Reanalysis Methods</i>. Wiley.
  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>,
    .'
  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'
  havard: D. Materna, Theoretical aspects and applications of goal-oriented reanalysis
    methods, Wiley, 2023.
  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>.'
  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>.
  short: D. Materna, Theoretical Aspects and Applications of Goal-Oriented Reanalysis
    Methods, Wiley, 2023.
  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).'
  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).'
conference:
  end_date: 2023-06-02
  location: Dresden
  name: 93rd Annual Meeting of the International Association of Applied Mathematics
    and Mechanics, GAMM 2023
  start_date: 2023-05-30
date_created: 2025-02-28T10:57:21Z
date_updated: 2025-06-12T13:41:40Z
department:
- _id: DEP3000
- _id: DEP3020
doi: https://doi.org/10.1002/pamm.202300164
intvolume: '        23'
issue: '4'
language:
- iso: eng
publication: 93rd Annual Meeting of the International Association of Applied Mathematics
  and Mechanics, GAMM 2023
publication_identifier:
  eissn:
  - 1617-7061
publication_status: published
publisher: Wiley
related_material:
  link:
  - relation: confirmation
    url: https://jahrestagung.gamm.org/wp-content/uploads/2023/05/20230517_BookofAbstracts_final_red.pdf
series_title: 'Proceedings in applied mathematics and mechanics : PAMM'
status: public
title: Theoretical aspects and applications of goal-oriented reanalysis methods
type: conference_speech
user_id: '83781'
volume: 23
year: '2023'
...
---
_id: '12643'
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.
author:
- first_name: Jan
  full_name: Liedmann, Jan
  last_name: Liedmann
- first_name: Franz-Joseph
  full_name: Barthold, Franz-Joseph
  last_name: Barthold
- first_name: Nikolai
  full_name: Gerzen, Nikolai
  id: '76704'
  last_name: Gerzen
citation:
  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>
  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>
  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.
  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>.'
  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>,
    .'
  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'
  havard: J. Liedmann, F.-J. Barthold, N. Gerzen, Gradient-based determination of
    principal design influences on composite structures, Wiley, 2023.
  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>.'
  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>.
  short: J. Liedmann, F.-J. Barthold, N. Gerzen, Gradient-Based Determination of Principal
    Design Influences on Composite Structures, Wiley, 2023.
  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).'
  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).'
conference:
  end_date: 2023-06-02
  location: Dresden
  name: 93rd Annual Meeting of the International Association of Applied Mathematics
    and Mechanics, GAMM 2023
  start_date: 2023-05-30
date_created: 2025-03-03T07:50:35Z
date_updated: 2025-06-12T13:36:04Z
department:
- _id: DEP3000
- _id: DEP3020
doi: https://doi.org/10.1002/pamm.202300177
intvolume: '        23'
issue: '3'
language:
- iso: eng
publication: 93rd Annual Meeting of the International Association of Applied Mathematics
  and Mechanics, GAMM 2023
publication_identifier:
  eissn:
  - 1617-7061
publication_status: published
publisher: Wiley
series_title: '  Proceedings in applied mathematics and mechanics : PAMM'
status: public
title: Gradient-based determination of principal design influences on composite structures
type: conference_speech
user_id: '83781'
volume: 23
year: '2023'
...