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Google Keyword Rankings for : eigenvalues stress tensor
1
https://uclageo.com/SoilMechanicsNotes/Section2.3.php
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https://uclageo.com/SoilMechanicsNotes/Section2.3.php
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2
https://www.uobabylon.edu.iq/eprints/publication_12_24838_639.pdf
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https://www.uobabylon.edu.iq/eprints/publication_12_24838_639.pdf
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3
https://en.wikipedia.org/wiki/Cauchy_stress_tensor
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https://en.wikipedia.org/wiki/Cauchy_stress_tensor
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4
https://www.soest.hawaii.edu/martel/Courses/GG703/GG711c_Lec_05.pdf
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https://www.soest.hawaii.edu/martel/Courses/GG703/GG711c_Lec_05.pdf
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5
https://math.stackexchange.com/questions/1002950/zero-as-an-eigenvalue-of-stress-tensor
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https://math.stackexchange.com/questions/1002950/zero-as-an-eigenvalue-of-stress-tensor
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6
http://homepages.engineering.auckland.ac.nz/~pkel015/SolidMechanicsBooks/Part_III/Chapter_3_Stress_Mass_Momentum/Stress_Balance_Principles_04_Properties_of_the_Stress_Tensor.pdf
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http://homepages.engineering.auckland.ac.nz/~pkel015/SolidMechanicsBooks/Part_III/Chapter_3_Stress_Mass_Momentum/Stress_Balance_Principles_04_Properties_of_the_Stress_Tensor.pdf
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7
https://doc.comsol.com/5.5/doc/com.comsol.help.sme/sme_ug_theory.06.16.html
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https://doc.comsol.com/5.5/doc/com.comsol.help.sme/sme_ug_theory.06.16.html
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8
https://pantelisliolios.com/principal-stresses-and-invariants/
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https://pantelisliolios.com/principal-stresses-and-invariants/
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9
https://ocw.mit.edu/courses/2-080j-structural-mechanics-fall-2013/pages/recitations/
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https://ocw.mit.edu/courses/2-080j-structural-mechanics-fall-2013/pages/recitations/
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10
http://www.geo.cornell.edu/geology/faculty/RWA/structure-lab-manual/chapter-5.pdf
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http://www.geo.cornell.edu/geology/faculty/RWA/structure-lab-manual/chapter-5.pdf
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11
http://fenicsproject.org/qa/12281/eigenvalues-eigenvectors-stress-strain-tensor-element-level
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http://fenicsproject.org/qa/12281/eigenvalues-eigenvectors-stress-strain-tensor-element-level
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12
https://www.esm.rkriz.net/classes/ESM5344/ESM5344_NoteBook/ESM4714/methods/EEG.html
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https://www.esm.rkriz.net/classes/ESM5344/ESM5344_NoteBook/ESM4714/methods/EEG.html
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13
https://fenicsproject.discourse.group/t/how-to-calculate-eigenvalues-and-eigenvectors-of-the-strain-tensor-in-case-3d/6812
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https://fenicsproject.discourse.group/t/how-to-calculate-eigenvalues-and-eigenvectors-of-the-strain-tensor-in-case-3d/6812
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14
https://engcourses-uofa.ca/books/introduction-to-solid-mechanics/stress/cauchy-sensor-tensor/
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https://engcourses-uofa.ca/books/introduction-to-solid-mechanics/stress/cauchy-sensor-tensor/
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15
https://www.doitpoms.ac.uk/tlplib/metal-forming-1/rotate_axis.php
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https://www.doitpoms.ac.uk/tlplib/metal-forming-1/rotate_axis.php
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16
https://dyedavid.files.wordpress.com/2014/01/203b-stresstensors-dd-notes.pdf
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https://dyedavid.files.wordpress.com/2014/01/203b-stresstensors-dd-notes.pdf
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17
https://link.springer.com/chapter/10.1007/978-94-017-1263-7_8
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https://link.springer.com/chapter/10.1007/978-94-017-1263-7_8
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18
https://csm.mech.utah.edu/content/wp-content/uploads/2011/08/ExactEigenSystemForSymmetricTensors.pdf
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https://csm.mech.utah.edu/content/wp-content/uploads/2011/08/ExactEigenSystemForSymmetricTensors.pdf
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19
https://web.stanford.edu/group/ctr/Summer/SP16/Reports/V_Uncertainty_Quantification/86_Thompson.pdf
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https://web.stanford.edu/group/ctr/Summer/SP16/Reports/V_Uncertainty_Quantification/86_Thompson.pdf
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20
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/on-the-topology-of-the-eigenframe-of-the-subgridscale-stress-tensor/6E5EE0F6B09E0C669493CDD8D2656E11
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https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/on-the-topology-of-the-eigenframe-of-the-subgridscale-stress-tensor/6E5EE0F6B09E0C669493CDD8D2656E11
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21
https://mechref.engr.illinois.edu/sol/transformation.html
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https://mechref.engr.illinois.edu/sol/transformation.html
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22
http://webdoc.sub.gwdg.de/ebook/serien/ah/ZIB/ZR_10_26.pdf
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http://webdoc.sub.gwdg.de/ebook/serien/ah/ZIB/ZR_10_26.pdf
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23
https://www.physicsforums.com/threads/cauchy-stress-principle-eigenvalues-of-stress-tensor.580488/
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https://www.physicsforums.com/threads/cauchy-stress-principle-eigenvalues-of-stress-tensor.580488/
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24
https://www.chegg.com/homework-help/questions-and-answers/finding-principal-stress-direction-given-stress-tensor-know-find-principal-stresses-find-e-q23743355
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https://www.chegg.com/homework-help/questions-and-answers/finding-principal-stress-direction-given-stress-tensor-know-find-principal-stresses-find-e-q23743355
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25
https://courses.ansys.com/wp-content/uploads/2019/04/1.3.3-Principal-Stress-_-rebranded.pdf
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https://courses.ansys.com/wp-content/uploads/2019/04/1.3.3-Principal-Stress-_-rebranded.pdf
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26
https://dnicolasespinoza.github.io/node14.html
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https://dnicolasespinoza.github.io/node14.html
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27
http://mmc.rmee.upc.edu/documents/Slides/MASTER/MultimediaCourse_Chapter04_v1S.pdf
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http://mmc.rmee.upc.edu/documents/Slides/MASTER/MultimediaCourse_Chapter04_v1S.pdf
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28
https://www.sciencedirect.com/science/article/pii/S0950140113700314/pdf?md5=fa9640517ccd069fe04898fe477182ad&pid=1-s2.0-S0950140113700314-main.pdf
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https://www.sciencedirect.com/science/article/pii/S0950140113700314/pdf?md5=fa9640517ccd069fe04898fe477182ad&pid=1-s2.0-S0950140113700314-main.pdf
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29
https://www.inf.ed.ac.uk/teaching/courses/vis/lecture_notes/lecture14_2008.pdf
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https://www.inf.ed.ac.uk/teaching/courses/vis/lecture_notes/lecture14_2008.pdf
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30
https://www.continuummechanics.org/principalstress.html
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https://www.continuummechanics.org/principalstress.html
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31
http://www.geol.lsu.edu/jlorenzo/PetroleumSeismology7900.2S14/lectures/MSWord/3.2%20Diagonalization.pdf
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http://www.geol.lsu.edu/jlorenzo/PetroleumSeismology7900.2S14/lectures/MSWord/3.2%20Diagonalization.pdf
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32
https://failurecriteria.com/Media/MATERIALS_FAILURE_THEORY_STRAIN_ENERGY_PRINCIPAL_STRESSES_EIGENVALUE_PROBLEM.pdf
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https://failurecriteria.com/Media/MATERIALS_FAILURE_THEORY_STRAIN_ENERGY_PRINCIPAL_STRESSES_EIGENVALUE_PROBLEM.pdf
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33
https://onlinelibrary.wiley.com/doi/full/10.1002/qua.25847
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https://onlinelibrary.wiley.com/doi/full/10.1002/qua.25847
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34
https://cseweb.ucsd.edu/classes/sp19/cse291-d/Files/CSE291_06_FractureAndContact.pdf
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https://cseweb.ucsd.edu/classes/sp19/cse291-d/Files/CSE291_06_FractureAndContact.pdf
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35
http://eqseis.geosc.psu.edu/cammon/HTML/UsingMATLAB/PDF/ML2%20Eigenvalues.pdf
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http://eqseis.geosc.psu.edu/cammon/HTML/UsingMATLAB/PDF/ML2%20Eigenvalues.pdf
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36
https://aip.scitation.org/doi/10.1063/1.4942863
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https://aip.scitation.org/doi/10.1063/1.4942863
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37
https://pubs.acs.org/doi/abs/10.1021/acs.jpca.9b07519
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https://pubs.acs.org/doi/abs/10.1021/acs.jpca.9b07519
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38
http://motion.me.ucsb.edu/GradProgram/Continuum-Mechanics-OnlineNotes/ME%20219%20Class%20Notes%20on%20Deformation%20Revised%2018Nov06.pdf
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http://motion.me.ucsb.edu/GradProgram/Continuum-Mechanics-OnlineNotes/ME%20219%20Class%20Notes%20on%20Deformation%20Revised%2018Nov06.pdf
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39
https://www.researchgate.net/figure/Largest-eigenvalue-of-the-material-stress-tensor-as-a-function-of-the-eigenvalues-of-the_fig8_333328228
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https://www.researchgate.net/figure/Largest-eigenvalue-of-the-material-stress-tensor-as-a-function-of-the-eigenvalues-of-the_fig8_333328228
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40
https://studylib.net/doc/18331255/stress-tensors
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https://studylib.net/doc/18331255/stress-tensors
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41
http://www.elmerfem.org/forum/viewtopic.php?t=2173
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http://www.elmerfem.org/forum/viewtopic.php?t=2173
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42
https://arxiv.org/pdf/1806.07749
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https://arxiv.org/pdf/1806.07749
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43
https://people.duke.edu/~hpgavin/egr201/CourseNotes/stress-transformation.pdf
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https://people.duke.edu/~hpgavin/egr201/CourseNotes/stress-transformation.pdf
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44
https://bechtel.colorado.edu/~willam/abstrends.pdf
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https://bechtel.colorado.edu/~willam/abstrends.pdf
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45
https://www.whoi.edu/cms/files/12.800_Chapter_3_'06_25330.pdf
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https://www.whoi.edu/cms/files/12.800_Chapter_3_'06_25330.pdf
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46
https://folk.ntnu.no/leifh/teaching/tkt4150/._main007.html
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https://folk.ntnu.no/leifh/teaching/tkt4150/._main007.html
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47
https://www.arpapress.com/Volumes/Vol13Issue1/IJRRAS_13_1_01.pdf
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https://www.arpapress.com/Volumes/Vol13Issue1/IJRRAS_13_1_01.pdf
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48
https://thesis.library.caltech.edu/2060/1/AppendixA.pdf
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https://thesis.library.caltech.edu/2060/1/AppendixA.pdf
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49
https://serc.carleton.edu/NAGTWorkshops/mineralogy/mineral_physics/tensors.html
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https://serc.carleton.edu/NAGTWorkshops/mineralogy/mineral_physics/tensors.html
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50
https://imechanica.org/files/principal%20stress%202013%2009%2018.pdf
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https://imechanica.org/files/principal%20stress%202013%2009%2018.pdf
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51
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6434032/
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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6434032/
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52
https://ejournal.upi.edu/index.php/AJSE/article/download/34950/14937
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https://ejournal.upi.edu/index.php/AJSE/article/download/34950/14937
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53
https://www.informit.com/articles/article.aspx?p=1729271&seqNum=13
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https://www.informit.com/articles/article.aspx?p=1729271&seqNum=13
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54
https://www.mathworks.com/matlabcentral/answers/11763-principal-stress-values-and-directions-using-eigs
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https://www.mathworks.com/matlabcentral/answers/11763-principal-stress-values-and-directions-using-eigs
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55
https://www.engapplets.vt.edu/Mohr/java/nsfapplets/MohrCircles2-3D/Theory/theory.htm
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https://www.engapplets.vt.edu/Mohr/java/nsfapplets/MohrCircles2-3D/Theory/theory.htm
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56
https://www.bu.edu/moss/mechanics-of-materials-stress-transformation/
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https://www.bu.edu/moss/mechanics-of-materials-stress-transformation/
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57
https://www.bgu.ac.il/geol/classes/structural/Front/lab08.pdf
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https://www.bgu.ac.il/geol/classes/structural/Front/lab08.pdf
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58
https://www.numerade.com/ask/question/1-here-is-a-stress-tensor-a-with-all-normal-stress-and-shear-stress-are-identical-here-a-is-a-nonzero-integer-answer-the-following-questions-10-pts-ra-a-find-the-eigenvalues-of-this-stress-t-30591/
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https://www.numerade.com/ask/question/1-here-is-a-stress-tensor-a-with-all-normal-stress-and-shear-stress-are-identical-here-a-is-a-nonzero-integer-answer-the-following-questions-10-pts-ra-a-find-the-eigenvalues-of-this-stress-t-30591/
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59
https://www.eoas.ubc.ca/~swaterma/512/LectureNotes/3_Navier_Stokes_Equations.pdf
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https://www.eoas.ubc.ca/~swaterma/512/LectureNotes/3_Navier_Stokes_Equations.pdf
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60
https://drops.dagstuhl.de/opus/volltexte/2011/3296/pdf/15.pdf
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https://drops.dagstuhl.de/opus/volltexte/2011/3296/pdf/15.pdf
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61
https://pylife.readthedocs.io/en/stable/stress/equistress.html
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https://pylife.readthedocs.io/en/stable/stress/equistress.html
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62
https://www.reddit.com/r/learnpython/comments/eo231o/numpy_linalgeig_for_principal_stress_calculation/
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https://www.reddit.com/r/learnpython/comments/eo231o/numpy_linalgeig_for_principal_stress_calculation/
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63
https://communities.bentley.com/products/geotech-analysis/f/plaxis-soilvision-forum/217303/orientation-of-principal-stress
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https://communities.bentley.com/products/geotech-analysis/f/plaxis-soilvision-forum/217303/orientation-of-principal-stress
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64
https://academic.oup.com/book/4888/chapter/147311268
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https://academic.oup.com/book/4888/chapter/147311268
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65
https://web.cs.ucdavis.edu/~hamann/HotzFengHagenHamannJoyJeremic2004.pdf
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https://web.cs.ucdavis.edu/~hamann/HotzFengHagenHamannJoyJeremic2004.pdf
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66
http://www2.egr.uh.edu/~ychen11/PUBLICATIONS/[28].pdf
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http://www2.egr.uh.edu/~ychen11/PUBLICATIONS/[28].pdf
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67
https://sameradeeb.srv.ualberta.ca/stress/examples-and-problems-2/
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https://sameradeeb.srv.ualberta.ca/stress/examples-and-problems-2/
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68
https://github.com/cp2k/cp2k/issues/583
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https://github.com/cp2k/cp2k/issues/583
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69
https://academic.uprm.edu/pcaceres/Courses/MMII/IMoM-5A.pdf
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https://academic.uprm.edu/pcaceres/Courses/MMII/IMoM-5A.pdf
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70
https://www.imbm.bas.bg/uploads/pdfs/papers/MDat/lecture4_2007-10-24.pdf
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https://www.imbm.bas.bg/uploads/pdfs/papers/MDat/lecture4_2007-10-24.pdf
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71
https://www.uni-due.de/~hm0014/ag_neff/publikation_neu/Shear-pure_and_simple.pdf
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https://www.uni-due.de/~hm0014/ag_neff/publikation_neu/Shear-pure_and_simple.pdf
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72
https://faculty.up.edu/lulay/ME304/NOTES-stress-strain-STUDENT.pdf
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https://faculty.up.edu/lulay/ME304/NOTES-stress-strain-STUDENT.pdf
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73
https://mechanicsofmaterials.weebly.com/principal-stress.html
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https://mechanicsofmaterials.weebly.com/principal-stress.html
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74
https://www.osti.gov/scitech/servlets/purl/1145983
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https://www.osti.gov/scitech/servlets/purl/1145983
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75
https://tu-freiberg.de/sites/default/files/media/professur-felsmechanik-32204/E-book/01_stress_and_deformation_tensor_1.pdf
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https://tu-freiberg.de/sites/default/files/media/professur-felsmechanik-32204/E-book/01_stress_and_deformation_tensor_1.pdf
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76
https://www.paraview.org/pipermail/paraview/2016-February/036183.html
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https://www.paraview.org/pipermail/paraview/2016-February/036183.html
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77
http://courses.washington.edu/bioen326/lectures/lecture%2005%202014%20Bioen%20326%20stress%20strain%20anal.pdf
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http://courses.washington.edu/bioen326/lectures/lecture%2005%202014%20Bioen%20326%20stress%20strain%20anal.pdf
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78
https://mooseframework.inl.gov/source/utils/RankTwoScalarTools.html
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https://mooseframework.inl.gov/source/utils/RankTwoScalarTools.html
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79
https://mae.ufl.edu/haftka/adv-elast/lectures/Section2-4.pdf
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https://mae.ufl.edu/haftka/adv-elast/lectures/Section2-4.pdf
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80
https://bigoni.dicam.unitn.it/paper/eigenvalues.pdf
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https://bigoni.dicam.unitn.it/paper/eigenvalues.pdf
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81
https://search.proquest.com/openview/3ba8636b124a6d68f461231979eee46a/1?pq-origsite=gscholar&cbl=34769
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https://search.proquest.com/openview/3ba8636b124a6d68f461231979eee46a/1?pq-origsite=gscholar&cbl=34769
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82
http://erik.spjut.me/E106_Website/pdfFiles/StressStrainTensor.pdf
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http://erik.spjut.me/E106_Website/pdfFiles/StressStrainTensor.pdf
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83
https://www.wikidoc.org/index.php/Stress_(physics)
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https://www.wikidoc.org/index.php/Stress_(physics)
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84
https://www.fz-juelich.de/en/pgi/pgi-1/downloads/klueppelberg_dipl_pdf/@@download/file
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https://www.fz-juelich.de/en/pgi/pgi-1/downloads/klueppelberg_dipl_pdf/@@download/file
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85
https://edurev.gumlet.io/files/2f091567-8d49-45f6-b05e-16000848d8a5.pdf
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https://edurev.gumlet.io/files/2f091567-8d49-45f6-b05e-16000848d8a5.pdf
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86
https://www.brown.edu/Departments/Engineering/Courses/En221/Notes/Summary_Slides.ppt
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