{"title":"弹性夹杂物对凹陷弹塑性固体变形行为的影响","authors":"Alexandros Spyromilios, Kyriakos Komvopoulos","doi":"10.1007/s00707-024-03981-4","DOIUrl":null,"url":null,"abstract":"<div><p>In contrast to indentation mechanics of homogeneous materials, insight into the deformation behavior of heterogeneous materials, such as those comprising inclusions and second-phase particles, is relatively limited, especially at length scales comparable to the inclusion size and depth, indentation depth, and indenter radius. Therefore, axisymmetric and plane-strain analyses of the effect of an elastic inclusion on the indentation mechanics of elastic-perfectly plastic half-spaces were performed with the finite element method. Numerical results of the mean contact pressure, equivalent plastic strain, and first principal stress obtained for a range of key geometrical parameters, such as indentation depth, indenter radius, inclusion depth, and inclusion diameter, yielded insight into the development of plasticity and tensile stresses that could lead to subsurface cracking and delamination at the inclusion-matrix interface. Simulations revealed the critical ranges of indentation depth, inclusion size, and inclusion depth yielding deformation and stress fields significantly different from those of homogeneous half-spaces. Specifically, the critical mean contact pressure for instigating plasticity below the contact interface, adjacent to the inclusion-matrix interface, and in the proximity of the contact edge in conjunction with the development of plastic zones and tensile stress bands in the subsurface were analyzed for a wide range of inclusion depth and indentation depth. The present analysis provides a computational framework for developing contact mechanics models for particle-reinforced half-space media.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 9","pages":"5925 - 5936"},"PeriodicalIF":2.3000,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Elastic inclusion effects on deformation behavior of indented elastic–plastic solids\",\"authors\":\"Alexandros Spyromilios, Kyriakos Komvopoulos\",\"doi\":\"10.1007/s00707-024-03981-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In contrast to indentation mechanics of homogeneous materials, insight into the deformation behavior of heterogeneous materials, such as those comprising inclusions and second-phase particles, is relatively limited, especially at length scales comparable to the inclusion size and depth, indentation depth, and indenter radius. Therefore, axisymmetric and plane-strain analyses of the effect of an elastic inclusion on the indentation mechanics of elastic-perfectly plastic half-spaces were performed with the finite element method. Numerical results of the mean contact pressure, equivalent plastic strain, and first principal stress obtained for a range of key geometrical parameters, such as indentation depth, indenter radius, inclusion depth, and inclusion diameter, yielded insight into the development of plasticity and tensile stresses that could lead to subsurface cracking and delamination at the inclusion-matrix interface. Simulations revealed the critical ranges of indentation depth, inclusion size, and inclusion depth yielding deformation and stress fields significantly different from those of homogeneous half-spaces. Specifically, the critical mean contact pressure for instigating plasticity below the contact interface, adjacent to the inclusion-matrix interface, and in the proximity of the contact edge in conjunction with the development of plastic zones and tensile stress bands in the subsurface were analyzed for a wide range of inclusion depth and indentation depth. The present analysis provides a computational framework for developing contact mechanics models for particle-reinforced half-space media.</p></div>\",\"PeriodicalId\":456,\"journal\":{\"name\":\"Acta Mechanica\",\"volume\":\"235 9\",\"pages\":\"5925 - 5936\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-08-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00707-024-03981-4\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-024-03981-4","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Elastic inclusion effects on deformation behavior of indented elastic–plastic solids
In contrast to indentation mechanics of homogeneous materials, insight into the deformation behavior of heterogeneous materials, such as those comprising inclusions and second-phase particles, is relatively limited, especially at length scales comparable to the inclusion size and depth, indentation depth, and indenter radius. Therefore, axisymmetric and plane-strain analyses of the effect of an elastic inclusion on the indentation mechanics of elastic-perfectly plastic half-spaces were performed with the finite element method. Numerical results of the mean contact pressure, equivalent plastic strain, and first principal stress obtained for a range of key geometrical parameters, such as indentation depth, indenter radius, inclusion depth, and inclusion diameter, yielded insight into the development of plasticity and tensile stresses that could lead to subsurface cracking and delamination at the inclusion-matrix interface. Simulations revealed the critical ranges of indentation depth, inclusion size, and inclusion depth yielding deformation and stress fields significantly different from those of homogeneous half-spaces. Specifically, the critical mean contact pressure for instigating plasticity below the contact interface, adjacent to the inclusion-matrix interface, and in the proximity of the contact edge in conjunction with the development of plastic zones and tensile stress bands in the subsurface were analyzed for a wide range of inclusion depth and indentation depth. The present analysis provides a computational framework for developing contact mechanics models for particle-reinforced half-space media.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.