{"_id":"mwgu7uacW9uJe3cKT","bibbaseid":"mooney-atheoryoflargeelasticdeformation-1940","author_short":["Mooney, M."],"bibdata":{"bibtype":"article","type":"article","title":"A Theory of Large Elastic Deformation","volume":"11","issn":"0021-8979","url":"https://doi.org/10.1063/1.1712836","doi":"10.1063/1.1712836","abstract":"It is postulated that (A) the material is isotropic, (B) the volume change and hysteresis are negligible, and (C) the shear is proportional to the traction in simple shear in a plane previously deformed, if at all, only by uniform dilatation or contraction. It is deduced that the general strain‐energy function, W, has the form W=G4 ∑ i=13(λi−1λi)2+H4 ∑ t=13(λi2−1λi2),where the λi's are the principal stretches (1+principal extension), G is the modulus of rigidity, and H is a new elastic constant not found in previous theories. The differences between the principal stresses are σi[minus]σi=λi∂ W/∂λi[minus]λi∂ W/∂λi.Calculated forces agree closely with experimental data on soft rubber from 400 percent elongation to 50 percent compression.","number":"9","urldate":"2025-01-01","journal":"Journal of Applied Physics","author":[{"propositions":[],"lastnames":["Mooney"],"firstnames":["M."],"suffixes":[]}],"month":"September","year":"1940","pages":"582–592","bibtex":"@article{mooney_theory_1940,\n\ttitle = {A {Theory} of {Large} {Elastic} {Deformation}},\n\tvolume = {11},\n\tissn = {0021-8979},\n\turl = {https://doi.org/10.1063/1.1712836},\n\tdoi = {10.1063/1.1712836},\n\tabstract = {It is postulated that (A) the material is isotropic, (B) the volume change and hysteresis are negligible, and (C) the shear is proportional to the traction in simple shear in a plane previously deformed, if at all, only by uniform dilatation or contraction. It is deduced that the general strain‐energy function, W, has the form W=G4 ∑ i=13(λi−1λi)2+H4 ∑ t=13(λi2−1λi2),where the λi's are the principal stretches (1+principal extension), G is the modulus of rigidity, and H is a new elastic constant not found in previous theories. The differences between the principal stresses are σi[minus]σi=λi∂ W/∂λi[minus]λi∂ W/∂λi.Calculated forces agree closely with experimental data on soft rubber from 400 percent elongation to 50 percent compression.},\n\tnumber = {9},\n\turldate = {2025-01-01},\n\tjournal = {Journal of Applied Physics},\n\tauthor = {Mooney, M.},\n\tmonth = sep,\n\tyear = {1940},\n\tpages = {582--592},\n}\n\n\n\n\n\n\n\n","author_short":["Mooney, M."],"key":"mooney_theory_1940","id":"mooney_theory_1940","bibbaseid":"mooney-atheoryoflargeelasticdeformation-1940","role":"author","urls":{"Paper":"https://doi.org/10.1063/1.1712836"},"metadata":{"authorlinks":{}}},"bibtype":"article","biburl":"https://bibbase.org/zotero/XiangrongLu","dataSources":["qNt3P6iaAg3Ryeo4C"],"keywords":[],"search_terms":["theory","large","elastic","deformation","mooney"],"title":"A Theory of Large Elastic Deformation","year":1940}