Uncertainty quantification in mechanics: A unified Bayesian perspective | Paper Citation Record

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This paper cites InternationalJournalforNumericalMethodsin Biomedical Engineering32(8), 02755 (2016) https://doi.org/10.1002/cnm.2755.

Uncertainty quantification in mechanics: A unified Bayesian perspective InternationalJournalforNumericalMethodsin Biomedical Engineering32(8), 02755 (2016) https://doi.org/10.1002/cnm.2755

Reference 1

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Uncertainty quantification in mechanics: A unified Bayesian perspective American Journal of Physics 14(1), 1–13 (1946) https://doi.org/10.1119/1

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Uncertainty quantification in mechanics: A unified Bayesian perspective Oxford University Press

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Uncertainty quantification in mechanics: A unified Bayesian perspective Unresolved cited work

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This paper cites (eds.) Maximum En- tropy and Bayesian Methods.

Uncertainty quantification in mechanics: A unified Bayesian perspective (eds.) Maximum En- tropy and Bayesian Methods

Reference 5

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This paper cites https: //doi.org/10.1017/CBO9780511790423.

Uncertainty quantification in mechanics: A unified Bayesian perspective https: //doi.org/10.1017/CBO9780511790423

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This paper cites Reviews of Modern Physics83(3), 943–999 (2011) https://doi.org/10.1103/ RevModPhys.83.943.

Uncertainty quantification in mechanics: A unified Bayesian perspective Reviews of Modern Physics83(3), 943–999 (2011) https://doi.org/10.1103/ RevModPhys.83.943

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Uncertainty quantification in mechanics: A unified Bayesian perspective Unresolved cited work

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This paper cites Axioms1(1), 38–73 (2012) https://doi.

Uncertainty quantification in mechanics: A unified Bayesian perspective Axioms1(1), 38–73 (2012) https://doi

Reference 9

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This paper cites In: Holzapfel, G.A., Rolf, M., Xu, X.Y.

Uncertainty quantification in mechanics: A unified Bayesian perspective In: Holzapfel, G.A., Rolf, M., Xu, X.Y

Reference 10

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This paper cites Exper- imental Mechanics48, 381–402 (2008) https: //doi.org/10.1007/s11340-008-9148-y.

Uncertainty quantification in mechanics: A unified Bayesian perspective Exper- imental Mechanics48, 381–402 (2008) https: //doi.org/10.1007/s11340-008-9148-y

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This paper cites PhD thesis, Universtity of Nottingham, UK (1997).

Uncertainty quantification in mechanics: A unified Bayesian perspective PhD thesis, Universtity of Nottingham, UK (1997)

Reference 12

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This paper cites In: Bernardo, J.M., 60 et al.(eds.) Bayesian Staistics 6: Proceedings of the Sixth Valencia International Meeting June 6-10, pp.

Uncertainty quantification in mechanics: A unified Bayesian perspective In: Bernardo, J.M., 60 et al.(eds.) Bayesian Staistics 6: Proceedings of the Sixth Valencia International Meeting June 6-10, pp

Reference 13

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Uncertainty quantification in mechanics: A unified Bayesian perspective Unresolved cited work

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This paper cites Biometrika89(4), 769–784 (2002) https://doi.org/10.1093/biomet/89.4.769.

Uncertainty quantification in mechanics: A unified Bayesian perspective Biometrika89(4), 769–784 (2002) https://doi.org/10.1093/biomet/89.4.769

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Uncertainty quantification in mechanics: A unified Bayesian perspective Unresolved cited work

Reference 16

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This paper cites In: Physical Sciences Forum, vol.

Uncertainty quantification in mechanics: A unified Bayesian perspective In: Physical Sciences Forum, vol

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Uncertainty quantification in mechanics: A unified Bayesian perspective org/10.1103/PhysRevE.101.043308

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This paper cites JOM73(1), 90–102 (2021) https://doi.org/10.

Uncertainty quantification in mechanics: A unified Bayesian perspective JOM73(1), 90–102 (2021) https://doi.org/10

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Uncertainty quantification in mechanics: A unified Bayesian perspective 1038/s41598-023-27574-8

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Uncertainty quantification in mechanics: A unified Bayesian perspective Medical Image Analysis, 103703 (2025) https: //doi.org/10.1016/j.media.2025.103703

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This paper cites Biomechanics and Modeling in Mechanobiol- ogy16(5), 1519–1533 (2017) https://doi.org/ 10.1007/s10237-017-0903-9.

Uncertainty quantification in mechanics: A unified Bayesian perspective Biomechanics and Modeling in Mechanobiol- ogy16(5), 1519–1533 (2017) https://doi.org/ 10.1007/s10237-017-0903-9

Reference 22

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This paper cites In: Holzapfel, G.A., Rolf, M., Xu, X.Y.

Uncertainty quantification in mechanics: A unified Bayesian perspective In: Holzapfel, G.A., Rolf, M., Xu, X.Y

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Uncertainty quantification in mechanics: A unified Bayesian perspective Scientific Re- ports14(1), 5041 (2024) https://doi.org/10

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Uncertainty quantification in mechanics: A unified Bayesian perspective Computers in Biology and Medicine 198 Part B, 111216 (2025) https://doi.org/10

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Uncertainty quantification in mechanics: A unified Bayesian perspective Computer Methods in Ap- plied Mechanics and Engineering461 Part A, 119171 (2026) https://doi.org/10.1016/j.cma

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Uncertainty quantification in mechanics: A unified Bayesian perspective In: Proceedings of the IEEE/CVF In- ternational Conference on Computer Vision, pp

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Uncertainty quantification in mechanics: A unified Bayesian perspective Computer Meth- ods in Applied Mechanics and Engineering 401, 115594 (2022) https://doi.org/10.1016/j

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Uncertainty quantification in mechanics: A unified Bayesian perspective Unresolved cited work

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Uncertainty quantification in mechanics: A unified Bayesian perspective World Scientific

Reference 30

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This paper cites The Physical Re- view106(4), 620–630 (1957) https: //doi.org/10.1103/PhysRev.106.620.

Uncertainty quantification in mechanics: A unified Bayesian perspective The Physical Re- view106(4), 620–630 (1957) https: //doi.org/10.1103/PhysRev.106.620

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Uncertainty quantification in mechanics: A unified Bayesian perspective Clarendon Press

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Uncertainty quantification in mechanics: A unified Bayesian perspective https: //doi.org/10.1002/9781118014967.JohnWiley & Sons, Inc

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Uncertainty quantification in mechanics: A unified Bayesian perspective In: Holzapfel, G.A., Rolf, M., Xu, X.Y

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Uncertainty quantification in mechanics: A unified Bayesian perspective International Journal for Numeri- cal Methods in Biomedical Engineering, 3576 (2022) https://doi.org/10.1002/cnm.3576

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This paper cites Journal of the Mechanical Behavior of Biomedical Materials59, 108–127 (2016) https://doi.org/10.1016/j.jmbbm.2015.10.025.

Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of the Mechanical Behavior of Biomedical Materials59, 108–127 (2016) https://doi.org/10.1016/j.jmbbm.2015.10.025

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Uncertainty quantification in mechanics: A unified Bayesian perspective Computer Meth- ods in Applied Mechanics and Engineering 357, 112604 (2019) https://doi.org/10.1016/j

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Uncertainty quantification in mechanics: A unified Bayesian perspective In: Sommer, G., Li, K., Haspinger, D.C., Ogden, R.W

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Uncertainty quantification in mechanics: A unified Bayesian perspective Computer Methods in Applied Mechanics and Engineer- ing398,115225(2022)https://doi.org/10.1016/ j.cma.2022.115225

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This paper cites Unsupervised full-field Bayesian inference of orthotropic hyperelasticity from a single biaxial test: a myocardial case study.

Uncertainty quantification in mechanics: A unified Bayesian perspective Unsupervised full-field Bayesian inference of orthotropic hyperelasticity from a single biaxial test: a myocardial case study

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Uncertainty quantification in mechanics: A unified Bayesian perspective Philosophical Transactions of the Royal Society A: Mathematical, Physi- calandEngineeringSciences383(2292)(2025) https://doi.org/10.1098/rsta.2024.0223

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Uncertainty quantification in mechanics: A unified Bayesian perspective arXiv (2026) https://doi

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Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of Computational Physics 511, 113117 (2024) https://doi.org/10.1016/j

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Uncertainty quantification in mechanics: A unified Bayesian perspective Composites Science and Technology228,109630(2022)https://doi.org/ 10.1016/j.compscitech.2022.109630

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Uncertainty quantification in mechanics: A unified Bayesian perspective Probabilistic Engineering Mechanics 66, 103153 (2021) https://doi.org/10.1016/j

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Uncertainty quantification in mechanics: A unified Bayesian perspective Computational Mechanics66, 827–849 (2020) https://doi.org/ 10.1007/s00466-020-01876-4

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Uncertainty quantification in mechanics: A unified Bayesian perspective Ad- vanced Modeling and Simulation in Engineer- ing Sciences9, 24 (2022) https://doi.org/10

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Uncertainty quantification in mechanics: A unified Bayesian perspective 1016/j.jcp.2020.109913

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Uncertainty quantification in mechanics: A unified Bayesian perspective Computer Methods in Applied Mechanics and Engineering402, 115346 (2022) https://doi.org/10.1016/j.cma

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Uncertainty quantification in mechanics: A unified Bayesian perspective Computer Methods in Applied Mechanics and Engineering433, 117517 (2025) https://doi.org/10.1016/j.cma

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Uncertainty quantification in mechanics: A unified Bayesian perspective Computer Methods and Programs in Biomedicine200, 105828 (2021) https://doi

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Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of the Mechanical Behavior of Biomedical Materials 137, 105553 (2023) https://doi.org/10.1016/j

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Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of the Royal StatisticalSociety:SeriesB(StatisticalMethod- ology)63(3), 425–464 (2001) https://doi.org/ 10.1111/1467-9868.00294

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Uncertainty quantification in mechanics: A unified Bayesian perspective SIAM/ASA Journal on Un- certainty Quantification6(2), 457–496 (2018) https://doi.org/10.1137/16M1106419

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Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of the Royal Society Interface 17(173), 20200886 (2020) https://doi.org/10

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Uncertainty quantification in mechanics: A unified Bayesian perspective In- verse Problems34, 025008 (2018) https://doi.org/10.1088/1361-6420/aaa34d

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Uncertainty quantification in mechanics: A unified Bayesian perspective PLoS Computational Biology19(3), 1010902 (2023) https://doi.org/ 10.1371/journal.pcbi.1010902

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Uncertainty quantification in mechanics: A unified Bayesian perspective SIAM Journal on Scientific Comput- ing31(5),3274–3300(2009)https://doi.org/10

Reference 60

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Uncertainty quantification in mechanics: A unified Bayesian perspective 1137/S1064827501387826

Reference 62

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Observation 760c94ef-ae2f-4afe-bc60-5ba4f0b0842e · outbound

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Reference 63

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Uncertainty quantification in mechanics: A unified Bayesian perspective (eds.): Handbook of Uncertainty Quantification vol

Reference 64

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Uncertainty quantification in mechanics: A unified Bayesian perspective http://tonyohagan.co.uk/academic/pdf/ Polynomial-chaos.pdf,accessed25.06.2019

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Uncertainty quantification in mechanics: A unified Bayesian perspective Reliability Engineering & System Safety106, 179–190 (2012) https: //doi.org/10.1016/j.ress.2012.05.002

Reference 66

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Uncertainty quantification in mechanics: A unified Bayesian perspective Probabilistic Engineering Mechanics55, 1–16 (2019) https: //doi.org/10.1016/j.probengmech.2018.08.001

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Observation 2aa8dd89-c068-4360-93e7-6e59d5fb9427 · outbound

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Reference 69

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Uncertainty quantification in mechanics: A unified Bayesian perspective Reliability Engi- neering&SystemSafety93(7),964–979(2008) https://doi.org/10.1016/j.ress.2007.04.002

Reference 70

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Uncertainty quantification in mechanics: A unified Bayesian perspective Reliability Engineering & System Safety94(7),1161–1172(2009)https://doi.org/ 10.1016/j.ress.2008.10.008

Reference 71

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Observation 85b9d488-da07-4252-869b-20f293204414 · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective In: Hesthaven, J., Rønquist, E

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Observation f00818f6-3d16-405f-ab9b-6ef587834993 · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of Computational Physics 230(6), 2345–2367 (2011)

Reference 75

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Observation d63e36d9-8136-4ffb-9bf5-936aeab6672d · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of Computational Physics 230(8), 3015–3034 (2011) https://doi.org/10

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Observation dfc32819-d5cd-412d-9692-d347146a3d84 · outbound

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Reference 80

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Uncertainty quantification in mechanics: A unified Bayesian perspective PCE-PINNs: Physics-Informed Neural Networks for Uncertainty Propagation in Ocean Modeling

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Uncertainty quantification in mechanics: A unified Bayesian perspective Reliability Engineering & System Safety227, 108732 (2022) https://doi.org/10

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Observation 23be910a-26f9-489a-88de-9d4dd5aed84b · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective Reliability Engineering & System Safety 229, 108813 (2023) https://doi.org/10.1016/j

Reference 85

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Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of Computational Physics 539, 114233 (2025) https://doi.org/10.1016/j

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Uncertainty quantification in mechanics: A unified Bayesian perspective 29th Interna- tional Conference on Artificial Intelligence and Statistics (AISTATS) (2026) https://doi.org/10

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Unavailable: canonical work link unavailable.

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Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of Computational Science71, 102039 (2023) https://doi.org/10.1016/j.jocs.2023.102039

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Unavailable: canonical work link unavailable.

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Uncertainty quantification in mechanics: A unified Bayesian perspective In- ternational Journal for Numerical Methods in Biomedical Engineering35(5), 3178 (2019) https://doi.org/10.1002/cnm.3178

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Observation aae36925-1242-4c65-a702-9a87f2dcc9a7 · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective Biomechanics and Modeling in Mechanobiol- ogy22(3), 885–904 (2023) https://doi.org/10

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Observation e9cfde89-8acf-462c-9caa-50e8f39c33a8 · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of the Southern African Institute of Mining and Metallurgy52(6), 119–139 (1951) https://doi.org/10.10520/AJA0038223X_4792

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Resolution: verified exact; doi, observed 2026-08-01T14:38:36.574263Z

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Observation 7addb120-5847-4fb4-b420-037b602b73f9 · outbound

This paper cites Journal of the Royal Statistical Society.SeriesB(Methodological)40(1),1–42 (1978) https://doi.org/10.2307/2984861.

Uncertainty quantification in mechanics: A unified Bayesian perspective Journal of the Royal Statistical Society.SeriesB(Methodological)40(1),1–42 (1978) https://doi.org/10.2307/2984861

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Resolution: verified exact; doi, observed 2026-08-01T14:38:36.301534Z

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Observation 892634f5-4043-490a-9a7f-c7469cd80374 · outbound

This paper cites https: //doi.org/10.1142/S0129065704001899.

Uncertainty quantification in mechanics: A unified Bayesian perspective https: //doi.org/10.1142/S0129065704001899

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:38:02.955310Z

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Observation 9cb5120b-5838-4c41-b329-e221b878cfce · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective Norwegian Computing Center, Norway (1997)

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Observation 75f66699-673c-4569-b785-2c02cdfd04df · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective Positive Definite Kernels in Machine Learning

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Observation fb6bf9e4-0563-48de-96e4-7928a0185cc0 · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective PhD thesis, Uni- versity of Cambridge, UK (2014)

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:38:03.218482Z

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Observation 4fed1071-fd18-4a83-86c0-7933517ff1bc · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective International Journal for Uncertainty Quantification 5(2) (2015) https://doi.org/10.1615/Int.J

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Resolution: malformed identifier; no resolver link, observed 2026-08-01T14:38:03.272131Z

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Unavailable: canonical work link unavailable.

Observation 7513c5db-17c2-4123-a9a3-5ab037480af3 · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective Machine Learning20(3), 273–297 (1995) https://doi.org/10.1007/BF00994018

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Resolution: unresolved; no resolver link, observed 2026-08-01T14:38:03.322517Z

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Unavailable: canonical work link unavailable.

Observation 520dba4c-b12f-4efa-80c1-848014fef068 · outbound

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Uncertainty quantification in mechanics: A unified Bayesian perspective In: Schölkopf, B., Luo, Z., Vovk, V

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Observation 8ffe112d-2384-41c9-a7c4-6468a4dc8b47 · outbound

This paper cites an unresolved cited work.

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Reference 100

Resolution: unresolved; no resolver link, observed 2026-08-01T14:38:03.489220Z

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Uncertainty quantification in mechanics: A unified Bayesian perspective Reliability Engineering & System Safety94(3), 742–751 (2009) https:// doi.org/10.1016/j.ress.2008.07.008

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Coverage vector

Reference resolution

Outbound references

Pith citing papers