{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:45Z","timestamp":1740134565783,"version":"3.37.3"},"reference-count":30,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51279085","2013CB036402","sklhse-2012-D-01"],"award-info":[{"award-number":["51279085","2013CB036402","sklhse-2012-D-01"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Basic Research Program of China","doi-asserted-by":"crossref","award":["51279085","2013CB036402","sklhse-2012-D-01"],"award-info":[{"award-number":["51279085","2013CB036402","sklhse-2012-D-01"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100011428","name":"State Key Laboratory of Hydroscience and Engineering","doi-asserted-by":"crossref","award":["51279085","2013CB036402","sklhse-2012-D-01"],"award-info":[{"award-number":["51279085","2013CB036402","sklhse-2012-D-01"]}],"id":[{"id":"10.13039\/501100011428","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>The mathematical foundation of the traditional elastoplastic constitutive theory for geomaterials is presented from the mathematical point of view, that is, the expression of stress-strain relationship in principal stress\/strain space being transformed to the expression in six-dimensional space. A new framework is then established according to the mathematical theory of vectors and tensors, which is applicable to establishing elastoplastic models both in strain space and in stress space. Traditional constitutive theories can be considered as its special cases. The framework also enables modification of traditional constitutive models.<\/jats:p>","DOI":"10.1155\/2013\/739068","type":"journal-article","created":{"date-parts":[[2013,6,22]],"date-time":"2013-06-22T21:00:28Z","timestamp":1371934828000},"page":"1-10","source":"Crossref","is-referenced-by-count":2,"title":["A Mathematical Approach to Establishing Constitutive Models for Geomaterials"],"prefix":"10.1155","volume":"2013","author":[{"given":"Guang-hua","family":"Yang","sequence":"first","affiliation":[{"name":"Guangdong Provincial Research Institute of Water Conservancy and Hydropower, Guangzhou 510610, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu-xin","family":"Jie","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guang-xin","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"5","key":"1","doi-asserted-by":"crossref","first-page":"1629","DOI":"10.1061\/JSFEAQ.0001458","volume":"96","year":"1970","journal-title":"ASCE Journal of the Soil Mechanics and Foundations Division"},{"issue":"7","key":"4","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1061\/AJGEB6.0000175","volume":"101","year":"1975","journal-title":"ASCE Journal of the Geotechnical Engineering Division"},{"first-page":"39","volume-title":"Stress-strain laws for soils","year":"1978","key":"5"},{"issue":"1","key":"6","first-page":"1","volume":"81","year":"1955","journal-title":"ASCE Journal of the Soil Mechanics and Foundations Division"},{"issue":"3","key":"7","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1680\/geot.1963.13.3.211","volume":"13","year":"1963","journal-title":"Geotechnique"},{"first-page":"535","volume-title":"On the generalised stress-strain behaviour of an ideal wet clay","year":"1968","key":"8"},{"issue":"1","key":"9","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1680\/geot.1965.15.1.32","volume":"15","year":"1965","journal-title":"Geotechnique"},{"issue":"4","key":"10","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1139\/t66-023","volume":"3","year":"1966","journal-title":"Canadian Geotechnical Journal"},{"issue":"2","key":"11","first-page":"240","volume":"24","year":"2002","journal-title":"Chinese Journal of Geotechnical Engineering"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1680\/geot.2007.00029"},{"issue":"9","key":"13","doi-asserted-by":"crossref","first-page":"1391","DOI":"10.1061\/(ASCE)0733-9399(1984)110:9(1391)","volume":"110","year":"1984","journal-title":"Journal of Engineering Mechanics"},{"issue":"3","key":"14","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1002\/nag.1610100302","volume":"10","year":"1986","journal-title":"International Journal for Numerical and Analytical Methods in Geomechanics"},{"issue":"11","key":"15","doi-asserted-by":"crossref","first-page":"1019","DOI":"10.1016\/0020-7683(77)90073-7","volume":"13","year":"1977","journal-title":"International Journal of Solids and Structures"},{"issue":"4","key":"16","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/0266-352X(88)90009-2","volume":"5","year":"1988","journal-title":"Computers and Geotechnics"},{"issue":"1","key":"17","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/0266-352X(88)90053-5","volume":"6","year":"1988","journal-title":"Computers and Geotechnics"},{"issue":"1","key":"18","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/0266-352X(88)90054-7","volume":"6","year":"1988","journal-title":"Computers and Geotechnics"},{"first-page":"97","volume-title":"Multi-yield surface model for soils on the basis of test fitting","year":"1994","key":"19"},{"key":"20","first-page":"335","volume":"1","year":"1980","journal-title":"Microstructural Science"},{"issue":"9","key":"21","doi-asserted-by":"crossref","first-page":"966","DOI":"10.1061\/(ASCE)0733-9399(1986)112:9(966)","volume":"112","year":"1986","journal-title":"Journal of Engineering Mechanics"},{"issue":"12","key":"22","doi-asserted-by":"crossref","first-page":"1263","DOI":"10.1061\/(ASCE)0733-9399(1986)112:12(1263)","volume":"112","year":"1986","journal-title":"Journal of Engineering Mechanics"},{"issue":"12","key":"23","doi-asserted-by":"crossref","first-page":"1292","DOI":"10.1061\/(ASCE)0733-9399(1986)112:12(1292)","volume":"112","year":"1986","journal-title":"Journal of Engineering Mechanics"},{"issue":"8","key":"24","doi-asserted-by":"crossref","first-page":"917","DOI":"10.1016\/0020-7683(89)90038-3","volume":"25","year":"1989","journal-title":"International Journal of Solids and Structures"},{"issue":"3","key":"25","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1002\/(SICI)1096-9853(199803)22:3<197::AID-NAG914>3.0.CO;2-T","volume":"22","year":"1998","journal-title":"International Journal for Numerical and Analytical Methods in Geomechanics"},{"issue":"9","key":"26","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1016\/0020-7683(78)90029-X","volume":"14","year":"1978","journal-title":"International Journal of Solids and Structures"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7683(95)00115-8"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7825(03)00356-6"},{"key":"33","doi-asserted-by":"publisher","DOI":"10.1016\/S0894-9166(09)60102-6"},{"issue":"1","key":"34","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1061\/(ASCE)0733-9410(1995)121:1(57)","volume":"121","year":"1995","journal-title":"ASCE Journal of the Geotechnical Engineering Division"},{"issue":"4","key":"36","doi-asserted-by":"crossref","first-page":"87","DOI":"10.3208\/sandf1972.23.4_87","volume":"23","year":"1983","journal-title":"Soils and Foundations"},{"volume-title":"Analysis of effective stress and movements of Lubuge dam","year":"1988","key":"38"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/739068.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/739068.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/739068.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,26]],"date-time":"2022-02-26T02:35:42Z","timestamp":1645842942000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/739068\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":30,"alternative-id":["739068","739068"],"URL":"https:\/\/doi.org\/10.1155\/2013\/739068","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}