This paper gives the general expressions for the compliance s′ijkl, Young＇s modulus E（hkl） and Poisson＇s ratio v（hkl, θ） along arbitrary loading direction [hkl] for tetragonal crystals. The representation surf...This paper gives the general expressions for the compliance s′ijkl, Young＇s modulus E（hkl） and Poisson＇s ratio v（hkl, θ） along arbitrary loading direction [hkl] for tetragonal crystals. The representation surface for which the length of the radius vector in the [hkl] direction equals E（hkl） and representation curve for which the length of the radius vector with angle θ deviated from the reference directions [001^-], [100], [001^-], [101^-] and [112^-] equals v（100, θ）, v（001, θ）, v（110,θ）, v（101,θ） and v（111, θ） respectively, are constructed for nine tetragonal crystals （ammonium dihydrogen arsenate, ammonium dihydrogen phosphate, barium titanate, indium, nickel sulfate, potassium dihydrogen arsenate, potassium dihydrogen phosphate, tin and zircon）. The characteristics of them are analysed in detail.展开更多
In this papaert an INTEGRAL CURVE ALGORITHM is preselited, which turns the intersection curve of surfaces into the form of integral one and then uses 'PREDICTORCORRECTOR' technique to evaluate the intersection...In this papaert an INTEGRAL CURVE ALGORITHM is preselited, which turns the intersection curve of surfaces into the form of integral one and then uses 'PREDICTORCORRECTOR' technique to evaluate the intersection of surfaces.No matter how the surfaces are defined, the method always deaIs with the intersection curves in the same wny. To find a point on the curve one need only to calculate the JACOBI determinants of 'PREDICTOR point' and 'CORRECToR point' while the second order precision is guatanteed. Thus, not only is the problem of finding the intersection of surfaces resolved, but also the algorithms for generating both plane curve and space curve are unified.展开更多
基金supported by the State Key Development Program for Basic Research of China (Grant No 2004CB619302)the National Natural Science Foundation of China (Grant No 50271038)
文摘This paper gives the general expressions for the compliance s′ijkl, Young＇s modulus E（hkl） and Poisson＇s ratio v（hkl, θ） along arbitrary loading direction [hkl] for tetragonal crystals. The representation surface for which the length of the radius vector in the [hkl] direction equals E（hkl） and representation curve for which the length of the radius vector with angle θ deviated from the reference directions [001^-], [100], [001^-], [101^-] and [112^-] equals v（100, θ）, v（001, θ）, v（110,θ）, v（101,θ） and v（111, θ） respectively, are constructed for nine tetragonal crystals （ammonium dihydrogen arsenate, ammonium dihydrogen phosphate, barium titanate, indium, nickel sulfate, potassium dihydrogen arsenate, potassium dihydrogen phosphate, tin and zircon）. The characteristics of them are analysed in detail.
文摘In this papaert an INTEGRAL CURVE ALGORITHM is preselited, which turns the intersection curve of surfaces into the form of integral one and then uses 'PREDICTORCORRECTOR' technique to evaluate the intersection of surfaces.No matter how the surfaces are defined, the method always deaIs with the intersection curves in the same wny. To find a point on the curve one need only to calculate the JACOBI determinants of 'PREDICTOR point' and 'CORRECToR point' while the second order precision is guatanteed. Thus, not only is the problem of finding the intersection of surfaces resolved, but also the algorithms for generating both plane curve and space curve are unified.
