3D eikonal equation is a partial differential equation for the calculation of first-arrival traveltimes and has been widely applied in many scopes such as ray tracing,source localization,reflection migration,seismic m...3D eikonal equation is a partial differential equation for the calculation of first-arrival traveltimes and has been widely applied in many scopes such as ray tracing,source localization,reflection migration,seismic monitoring and tomographic imaging.In recent years,many advanced methods have been developed to solve the 3D eikonal equation in heterogeneous media.However,there are still challenges for the stable and accurate calculation of first-arrival traveltimes in 3D strongly inhomogeneous media.In this paper,we propose an adaptive finite-difference(AFD)method to numerically solve the 3D eikonal equation.The novel method makes full use of the advantages of different local operators characterizing different seismic wave types to calculate factors and traveltimes,and then the most accurate factor and traveltime are adaptively selected for the convergent updating based on the Fermat principle.Combined with global fast sweeping describing seismic waves propagating along eight directions in 3D media,our novel method can achieve the robust calculation of first-arrival traveltimes with high precision at grid points either near source point or far away from source point even in a velocity model with large and sharp contrasts.Several numerical examples show the good performance of the AFD method,which will be beneficial to many scientific applications.展开更多
This work develops a Hermitian C^(2) differential reproducing kernel interpolation meshless(DRKIM)method within the consistent couple stress theory(CCST)framework to study the three-dimensional(3D)microstructuredepend...This work develops a Hermitian C^(2) differential reproducing kernel interpolation meshless(DRKIM)method within the consistent couple stress theory(CCST)framework to study the three-dimensional(3D)microstructuredependent static flexural behavior of a functionally graded(FG)microplate subjected to mechanical loads and placed under full simple supports.In the formulation,we select the transverse stress and displacement components and their first-and second-order derivatives as primary variables.Then,we set up the differential reproducing conditions(DRCs)to obtain the shape functions of the Hermitian C^(2) differential reproducing kernel(DRK)interpolant’s derivatives without using direct differentiation.The interpolant’s shape function is combined with a primitive function that possesses Kronecker delta properties and an enrichment function that constituents DRCs.As a result,the primary variables and their first-and second-order derivatives satisfy the nodal interpolation properties.Subsequently,incorporating ourHermitianC^(2)DRKinterpolant intothe strong formof the3DCCST,we develop a DRKIM method to analyze the FG microplate’s 3D microstructure-dependent static flexural behavior.The Hermitian C^(2) DRKIM method is confirmed to be accurate and fast in its convergence rate by comparing the solutions it produces with the relevant 3D solutions available in the literature.Finally,the impact of essential factors on the transverse stresses,in-plane stresses,displacements,and couple stresses that are induced in the loaded microplate is examined.These factors include the length-to-thickness ratio,the material length-scale parameter,and the inhomogeneity index,which appear to be significant.展开更多
We analysed the photooxidation reaction in the electro-(1O2) and nucleophilic (O2•−) reaction of 2-pyridone azo derivatives. First, we calculated the energy (enthalpies) of tautomers formation, which is a measure of d...We analysed the photooxidation reaction in the electro-(1O2) and nucleophilic (O2•−) reaction of 2-pyridone azo derivatives. First, we calculated the energy (enthalpies) of tautomers formation, which is a measure of durability and the probability of their formation. We performed the light fastness calculations of the monoazopyridone dyes. Using the semi-empirical methods of quantum chemistry AM1 and PM3, the reactivity indicators of superdelocalisability (SrE(N)) and the electron density distribution in ground state on the highest occupied HOMO orbital and the lowest unoccupied excited state LUMO in 2-pyridone phenylazo derivatives were calculated. Superdelocalisability coefficients enable the stability to oxidising agents of various chemical molecules depending on the tautomeric forms in which they may occur. The results of the electron density calculations at the HOMO and LUMO boundary orbitals allow to determine the tendency to electrophilic attack with singlet oxygen 1O2 or nucleophilic attack of the superoxide anion O2•−on a specific atom in the molecule. The structure of the dyes was optimised with MM+, MD and AM1 or PM3 until a constant energy value was achieved with a convergence criterion of 0.01 kcal/mol.展开更多
针对C-HRA-3耐热合金在700℃和750℃时效后的试样研究了M 23 C 6碳化物和γ′相化学相组成变化规律。结果表明:C-HRA-3合金经高温时效后析出M 23 C 6碳化物和γ′相,其中M 23 C 6碳化物中合金元素M为Cr、Mo、Ni和Co,γ′相中合金元素有N...针对C-HRA-3耐热合金在700℃和750℃时效后的试样研究了M 23 C 6碳化物和γ′相化学相组成变化规律。结果表明:C-HRA-3合金经高温时效后析出M 23 C 6碳化物和γ′相,其中M 23 C 6碳化物中合金元素M为Cr、Mo、Ni和Co,γ′相中合金元素有Ni、Co、Al、Ti、Mo、Cr和Nb,时效至8000 h后,700℃时效后M 23 C 6碳化物析出量约0.978%,γ′相析出量约9.5%;750℃时效后,M 23 C 6碳化物析出量约1.023%,γ′相析出量约6.753%,随时效温度升高,M 23 C 6碳化物析出量增加约4.6%,γ′相析出量减小约28.9%。展开更多
目的探讨NOTCH3基因第5外显子C260S位点突变导致的伴有皮层下梗死和白质脑病的常染色体显性遗传性脑动脉病(cerebral autosomal dominant arteriopathy with subcortical infarcts and leukoencephalopathy,CADASIL)家系的临床和影像学...目的探讨NOTCH3基因第5外显子C260S位点突变导致的伴有皮层下梗死和白质脑病的常染色体显性遗传性脑动脉病(cerebral autosomal dominant arteriopathy with subcortical infarcts and leukoencephalopathy,CADASIL)家系的临床和影像学特征。方法选取2021年12月首都医科大学附属北京同仁医院来自同一家庭的CADASIL患者,对所有患者进行NOTCH3基因测序,回顾性分析患者的临床表现和头颅影像学特征。复习既往文献报道的导致同一位置氨基酸改变的其他突变类型的临床及影像学特征。结果4名家庭成员中,包括先证者(46岁,女)及其两个姐姐(分别为48岁和50岁)和女儿(18岁)。先证者及其父亲、两个姐姐都有偏头痛病史,其中大姐有记忆力减退;先证者患有脑梗死及伴有视觉先兆的偏头痛;先证者女儿体健;先证者父亲因脑梗死去世。4名家庭成员均存在C260S位点的NOTCH3基因突变。既往文献无此位点突变的报道,先证者头颅MRI示右侧脑桥亚急性梗死,颞叶、脑室周围及脑干异常高信号改变,其大姐脑桥可见腔隙性梗死灶。结论NOTCH3基因第5外显子c.778T>A(p.C260S)的罕见突变导致的CADASIL发病时间早,早期会出现认知障碍。合并偏头痛的脑干梗死患者,需警惕CADASIL的可能。展开更多
基金The authors thank the funds supported by the China National Nuclear Corporation under Grants Nos.WUQNYC2101 and WUHTLM2101-04National Natural Science Foundation of China(42074132,42274154).
文摘3D eikonal equation is a partial differential equation for the calculation of first-arrival traveltimes and has been widely applied in many scopes such as ray tracing,source localization,reflection migration,seismic monitoring and tomographic imaging.In recent years,many advanced methods have been developed to solve the 3D eikonal equation in heterogeneous media.However,there are still challenges for the stable and accurate calculation of first-arrival traveltimes in 3D strongly inhomogeneous media.In this paper,we propose an adaptive finite-difference(AFD)method to numerically solve the 3D eikonal equation.The novel method makes full use of the advantages of different local operators characterizing different seismic wave types to calculate factors and traveltimes,and then the most accurate factor and traveltime are adaptively selected for the convergent updating based on the Fermat principle.Combined with global fast sweeping describing seismic waves propagating along eight directions in 3D media,our novel method can achieve the robust calculation of first-arrival traveltimes with high precision at grid points either near source point or far away from source point even in a velocity model with large and sharp contrasts.Several numerical examples show the good performance of the AFD method,which will be beneficial to many scientific applications.
基金supported by a grant from the National Science and Technology Council of the Republic of China(Grant Number:MOST 112-2221-E-006-048-MY2).
文摘This work develops a Hermitian C^(2) differential reproducing kernel interpolation meshless(DRKIM)method within the consistent couple stress theory(CCST)framework to study the three-dimensional(3D)microstructuredependent static flexural behavior of a functionally graded(FG)microplate subjected to mechanical loads and placed under full simple supports.In the formulation,we select the transverse stress and displacement components and their first-and second-order derivatives as primary variables.Then,we set up the differential reproducing conditions(DRCs)to obtain the shape functions of the Hermitian C^(2) differential reproducing kernel(DRK)interpolant’s derivatives without using direct differentiation.The interpolant’s shape function is combined with a primitive function that possesses Kronecker delta properties and an enrichment function that constituents DRCs.As a result,the primary variables and their first-and second-order derivatives satisfy the nodal interpolation properties.Subsequently,incorporating ourHermitianC^(2)DRKinterpolant intothe strong formof the3DCCST,we develop a DRKIM method to analyze the FG microplate’s 3D microstructure-dependent static flexural behavior.The Hermitian C^(2) DRKIM method is confirmed to be accurate and fast in its convergence rate by comparing the solutions it produces with the relevant 3D solutions available in the literature.Finally,the impact of essential factors on the transverse stresses,in-plane stresses,displacements,and couple stresses that are induced in the loaded microplate is examined.These factors include the length-to-thickness ratio,the material length-scale parameter,and the inhomogeneity index,which appear to be significant.
文摘We analysed the photooxidation reaction in the electro-(1O2) and nucleophilic (O2•−) reaction of 2-pyridone azo derivatives. First, we calculated the energy (enthalpies) of tautomers formation, which is a measure of durability and the probability of their formation. We performed the light fastness calculations of the monoazopyridone dyes. Using the semi-empirical methods of quantum chemistry AM1 and PM3, the reactivity indicators of superdelocalisability (SrE(N)) and the electron density distribution in ground state on the highest occupied HOMO orbital and the lowest unoccupied excited state LUMO in 2-pyridone phenylazo derivatives were calculated. Superdelocalisability coefficients enable the stability to oxidising agents of various chemical molecules depending on the tautomeric forms in which they may occur. The results of the electron density calculations at the HOMO and LUMO boundary orbitals allow to determine the tendency to electrophilic attack with singlet oxygen 1O2 or nucleophilic attack of the superoxide anion O2•−on a specific atom in the molecule. The structure of the dyes was optimised with MM+, MD and AM1 or PM3 until a constant energy value was achieved with a convergence criterion of 0.01 kcal/mol.
文摘针对C-HRA-3耐热合金在700℃和750℃时效后的试样研究了M 23 C 6碳化物和γ′相化学相组成变化规律。结果表明:C-HRA-3合金经高温时效后析出M 23 C 6碳化物和γ′相,其中M 23 C 6碳化物中合金元素M为Cr、Mo、Ni和Co,γ′相中合金元素有Ni、Co、Al、Ti、Mo、Cr和Nb,时效至8000 h后,700℃时效后M 23 C 6碳化物析出量约0.978%,γ′相析出量约9.5%;750℃时效后,M 23 C 6碳化物析出量约1.023%,γ′相析出量约6.753%,随时效温度升高,M 23 C 6碳化物析出量增加约4.6%,γ′相析出量减小约28.9%。
文摘目的探讨NOTCH3基因第5外显子C260S位点突变导致的伴有皮层下梗死和白质脑病的常染色体显性遗传性脑动脉病(cerebral autosomal dominant arteriopathy with subcortical infarcts and leukoencephalopathy,CADASIL)家系的临床和影像学特征。方法选取2021年12月首都医科大学附属北京同仁医院来自同一家庭的CADASIL患者,对所有患者进行NOTCH3基因测序,回顾性分析患者的临床表现和头颅影像学特征。复习既往文献报道的导致同一位置氨基酸改变的其他突变类型的临床及影像学特征。结果4名家庭成员中,包括先证者(46岁,女)及其两个姐姐(分别为48岁和50岁)和女儿(18岁)。先证者及其父亲、两个姐姐都有偏头痛病史,其中大姐有记忆力减退;先证者患有脑梗死及伴有视觉先兆的偏头痛;先证者女儿体健;先证者父亲因脑梗死去世。4名家庭成员均存在C260S位点的NOTCH3基因突变。既往文献无此位点突变的报道,先证者头颅MRI示右侧脑桥亚急性梗死,颞叶、脑室周围及脑干异常高信号改变,其大姐脑桥可见腔隙性梗死灶。结论NOTCH3基因第5外显子c.778T>A(p.C260S)的罕见突变导致的CADASIL发病时间早,早期会出现认知障碍。合并偏头痛的脑干梗死患者,需警惕CADASIL的可能。
