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Thermal-stress induced phenomena in two-component material: part I
作者姓名:Ladislav  Ceniga
作者单位:Institute of Materials Research;Slovak Academy of Sciences;Watsonova 47;040 01 Kosice;Slovak Republic;
基金项目:supported by the Slovak Research and Development Agency under the contracts No. COST-0022-06, No.COST-0042-06, No. APVV-51-061505, No. APVV-0034-07, No.APVV-0171-06; by the 6th FP EU NESPA; by FP7—EGPOT-2007-3 DEMATEN 204953 (05/08-04/11); by IMPROVING 229625; by HANCOC-MNT.ERA-NET 01/09-12/11; by NANOSMART Centre of Excellence (01/2007-12/2010) Slovak Academy of Sciences;by the Slovak Grant Agency VEGA (2/7197/27, 2/7194/27, 2/7195/27,1/4107/07); by iNTeg-Risk CP-IP 213345-2; by Eur...
摘    要:The paper deals with analytical fracture mechanics to consider elastic thermal stresses acting in an isotropic multi-particle-matrix system. The multi-particle-matrix system consists of periodically distributed spherical particles in an infinite matrix. The thermal stresses originate during a cooling process as a consequence of the difference αm - αp in thermal expansion coefficients between the matrix and the particle, αm and αp, respectively. The multi-particle-matrix system thus represents a model system applicable to a real two-component material of a precipitation-matrix type. The infinite matrix is imaginarily divided into identical cubic cells. Each of the cubic cells with the dimension d contains a central spherical particle with the radius R, where d thus corresponds to inter-particle distance. The parameters R, d along with the particle volume fraction v = v(R, d) as a function of R, d represent microstructural characteristics of a twocomponent material. The thermal stresses are investigated within the cubic cell, and accordingly are functions of the microstructural characteristics. The analytical fracture mechanics includes an analytical analysis of the crack initiation and consequently the crack propagation both considered for the spherical particle (q = p) and the cell matrix (q = m). The analytical analysis is based on the determination of the curve integral Wcq of the thermal-stress induced elastic energy density Wq. The crack initiation is represented by the determination of the critical particle radius Rqc = Rqc(V). Formulae for Rqc are valid for any two-component mate- rial of a precipitate-matrix type. The crack propagation for R 〉 Rqc is represented by the determination of the function fq describing a shape of the crack in a plane perpendicular

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收稿时间:25 January 2005

Thermal-stress induced phenomena in two-component material: part I
Ladislav Ceniga.Thermal-stress induced phenomena in two-component material: part I[J].Acta Mechanica Sinica,2009,25(6):811-820.
Authors:Ladislav Ceniga
Institution:Institute of Materials Research, Slovak Academy of Sciences,Watsonova 47,040 01 Kosice, Slovak Republic
Abstract:The paper deals with analytical fracture mechanics to consider elastic thermal stresses acting in an isotropic multi-particle-matrix system. The multi-particle-matrix system consists of periodically distributed spherical particles in an infinite matrix. The thermal stresses originate during a cooling process as a consequence of the difference α m ? α p in thermal expansion coefficients between the matrix and the particle, α m and α p , respectively. The multi-particle-matrix system thus represents a model system applicable to a real two-component material of a precipitation-matrix type. The infinite matrix is imaginarily divided into identical cubic cells. Each of the cubic cells with the dimension d contains a central spherical particle with the radius R, where d thus corresponds to inter-particle distance. The parameters R, d along with the particle volume fraction v = v (R, d) as a function of R, d represent microstructural characteristics of a two-component material. The thermal stresses are investigated within the cubic cell, and accordingly are functions of the microstructural characteristics. The analytical fracture mechanics includes an analytical analysis of the crack initiation and consequently the crack propagation both considered for the spherical particle (q = p) and the cell matrix (q = m). The analytical analysis is based on the determination of the curve integral W cq of the thermal-stress induced elastic energy density w q . The crack initiation is represented by the determination of the critical particle radius R qc  = R qc (v). Formulae for R qc are valid for any two-component material of a precipitate-matrix type. The crack propagation for R > R qc is represented by the determination of the function f q describing a shape of the crack in a plane perpendicular to a plane of the crack propagation. The functions f p and f m are valid for an ideal-brittle particle and an ideal-brittle matrix, i.e. for the multi-particle-matrix system consisted of ceramic particles and ceramic matrix, respectively.
Keywords:Thermal stress  Limit state  Analytical modelling  Two-component material  
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