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We compare effective models obtained by either simultaneously or consecutively passing to the\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$\\Gamma $$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mi>\u0393<\/mml:mi>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    -limits as the thickness\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$h\\ll 1$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mrow>\n                            <mml:mi>h<\/mml:mi>\n                            <mml:mo>\u226a<\/mml:mo>\n                            <mml:mn>1<\/mml:mn>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    and the size of the material microstructure\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$\\epsilon \\ll 1$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mrow>\n                            <mml:mi>\u03f5<\/mml:mi>\n                            <mml:mo>\u226a<\/mml:mo>\n                            <mml:mn>1<\/mml:mn>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    vanish. In the regime\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$\\epsilon \\ll h$$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mrow>\n                            <mml:mi>\u03f5<\/mml:mi>\n                            <mml:mo>\u226a<\/mml:mo>\n                            <mml:mi>h<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    we show that the consecutive and simultaneous limit are equivalent, and also analyze the rate of convergence. In contrast, we observe that there are several different limit models in the case\n                    <jats:inline-formula>\n                      <jats:alternatives>\n                        <jats:tex-math>$$h\\ll \\epsilon $$<\/jats:tex-math>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                          <mml:mrow>\n                            <mml:mi>h<\/mml:mi>\n                            <mml:mo>\u226a<\/mml:mo>\n                            <mml:mi>\u03f5<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    .\n                  <\/jats:p>","DOI":"10.1007\/s00332-026-10240-4","type":"journal-article","created":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T05:18:18Z","timestamp":1770009498000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Commutativity and Non-commutativity of Limits in the Nonlinear Bending Theory for Prestrained Microheterogeneous Plates"],"prefix":"10.1007","volume":"36","author":[{"given":"Klaus","family":"B\u00f6hnlein","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lucas","family":"Bouck","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefan","family":"Neukamm","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Padilla-Garza","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kai","family":"Richter","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2026,2,2]]},"reference":[{"key":"10240_CR1","first-page":"24","volume":"25","author":"Virginia Agostiniani","year":"2019","unstructured":"Agostiniani, Virginia, Lucantonio, Alessandro, Lu\u010di\u0107, Danka: Heterogeneous elastic plates with in-plane modulation of the target curvature and applications to thin gel sheets. 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