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The suitability of a candidate hyperelastic strain energy function is then determined by comparing its predicted response to the data gleaned from tests and adjusting the material parameters to get a good fit, an exercise which can be deceptive because of nonlinearity. Here we propose to generalise the approach of Rivlin and Saunders (Philos. Trans. R. Soc. A, Math. Phys. Eng. Sci. 243:251\u2013288, 1951) who, instead of reporting the data as stress against stretch, manipulated these measures to create the \u2018Mooney plot\u2019, where the Mooney-Rivlin model is expected to produce a linear fit. We show that extending this idea to other models and modes of deformation (tension, shear, torsion, etc.) is advantageous, not only (a) for the fitting procedure, but also to (b) delineate trends in the deformation which are not obvious from the raw data (and may be interpreted in terms of micro-, meso-, and macro-structures) and (c) obtain a bounded <jats:italic>condition number<\/jats:italic><jats:inline-formula><jats:alternatives><jats:tex-math>$\\kappa $<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03ba<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula> over the whole range of deformation, a robustness which is lacking in other plots and spaces.<\/jats:p>","DOI":"10.1007\/s10659-022-09889-1","type":"journal-article","created":{"date-parts":[[2022,3,23]],"date-time":"2022-03-23T18:03:03Z","timestamp":1648058583000},"page":"127-141","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["The Generalised Mooney Space for Modelling the Response of Rubber-Like Materials"],"prefix":"10.1007","volume":"151","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4348-5186","authenticated-orcid":false,"given":"Afshin","family":"Anssari-Benam","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Andrea","family":"Bucchi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michel","family":"Destrade","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Giuseppe","family":"Saccomandi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,3,23]]},"reference":[{"key":"9889_CR1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijnonlinmec.2020.103626","volume":"128","author":"A. 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