A Finite Element Analysis Of The Singular Field At The Interface End Of Heat Engine

In this paper, bi-material interface corner and the inclusion corner is the research object,established the finite element inserted within the higher characteristic equation, according tothe bi-material interface edge stress singularity exponent and angular distributionfunctions,solving the singular stress fields and the stress intensity factors at the bi-materialinterface edge and inclusion corners under thermo-mechancal loads. Created a polygons superelements at the bi-material edge or inclusion corners which can be reflected the singular stressfields under thermo-mechanical loads. Coupled the super element with the conventionalglobal element, it’s a numerical methods, versatility is good. To establish super element need:the eigensolutions of singular fields are solved by a kind of ad hoc finite element eigenalysismethod, after obtained the eigensolutions, through the generalized Hellinger-Reissnervariational functions creat the super element at the interface or inclusion corners. Combinatedthe super element with the common four-node elements for solving the singular stress fieldsof the bi-material edges or inclusion corners. The article contains the following contents:1) To establish the super element of the bi-material free edge interface, solve the singularstress fields at the interface under thermo-mechanical loads. Through typical examples, toprove the accuracy and high efficiency of this method. Investigate the impact of differentnodes of the super element on the results.2) establish a super element of the fully integrated corner, solve the singular stress fields ofdifferent inclusions under thermo-mechanical loads. Through the example analysis, a singlesquare inclusion and a single rectangular inclusion were investigated under thermal andmechanical loads, and calculated the stress intensity factors.3) establish the super element at the inclusion corner for solving the singular stress fieldsunder thermo-mechanical loads with more than one inclusions. Investigated the interferenceproblems of two square inclusions and two rectangular inclusions, study the impact of thematrial properties, inclusion size, inclusion spacing.4) Study the singular stress fields of numerous square and rectangular inclusions which issequence distributed under thermo-mechanical loas.