Scattering of the shear waves by a nano-sized cylindrical hole embedded the inhomogeneous is investigated in this study. The Helmholtz equation with a variable coefficient is transformed the standard Helmholtz equatio...Scattering of the shear waves by a nano-sized cylindrical hole embedded the inhomogeneous is investigated in this study. The Helmholtz equation with a variable coefficient is transformed the standard Helmholtz equation by the complex function method and the conformal mapping method. By wave function expanding method, the analytical expressions of the displacement field and stress field in the inhomogeneous medium are obtained. Considering the surface effect and using the generalized Young-Laplace equation, we obtain the boundary conditions at nano arbitrary-shaped hole, then the field equations satisfying boundary conditions are attributed to solving a set of infinite algebraic equations. Numerical results show that when the radius of the cylindrical cavity shrinks to nanometers, surface energy becomes a dominant factor that affects the dynamic stress concentration factor (DSCF) around the cylindrical cavity. The influence the density variation of the inhomogeneity on the DSCF is discussed at the same time.展开更多
改性油脂乙氧基化物磺酸盐(SNS-80)是一种以植物油脂为原料得到的绿色环保的阴离子型表面活性剂,安全无刺激,可广泛应用于各类洗涤剂产品中。分别采用旋转黏度计、Ross-Miles泡沫仪、帆布沉降法、振荡法和改进的酸滴定法测试了SNS-80的...改性油脂乙氧基化物磺酸盐(SNS-80)是一种以植物油脂为原料得到的绿色环保的阴离子型表面活性剂,安全无刺激,可广泛应用于各类洗涤剂产品中。分别采用旋转黏度计、Ross-Miles泡沫仪、帆布沉降法、振荡法和改进的酸滴定法测试了SNS-80的黏度、发泡稳泡性能、润湿、乳化和钙皂分散力,并测试了SNS-80在室温和(95±2)℃时的表观耐盐和耐碱性能;将SNS-80应用于机洗餐具用洗涤剂中,考察了其稳定性和去污性能,并与市售产品进行了比较。结果表明,SNS-80水溶液在整个浓度区间内都具有低的黏度,且无凝胶相区,起始泡沫高但消泡快,具有好的钙皂分散力,1 g SNS-80可以分散18.7 g钙皂;表观耐盐能力低温时较高温时好,对一价盐的耐受能力较二价盐高;而表观耐碱度则是在高温时好,在(95±2)℃时可高达168 g/L。与市售机洗餐具洗涤剂相比,以SNS-80为主活性物得到的产品具有更好的去污能力。展开更多
The scattering of shear waves (SH waves) by nano-scale arbitrary shape inclusion in infinite plane is studied by complex variable function theory. Firstly, the governing equation and the relationships between stress a...The scattering of shear waves (SH waves) by nano-scale arbitrary shape inclusion in infinite plane is studied by complex variable function theory. Firstly, the governing equation and the relationships between stress and displacement are given by classical elastic theory. Secondly, the arbitrary shape inclusion in the two-dimensional plane is transformed into a unit circle domain by conformal mapping, the incident wave field and the scattered wave field are presented. Next, the stress and displacement boundary conditions are established by considering surface elasticity theory, The infinite algebraic equations for solving the unknown coefficients of the scattered and standing waves are obtained. Finally, the influence of surface effect, non-dimensional wave number, Shear modulus and hole curvature on the dynamic stress concentration factor are analyzed by some examples, the numerical results show that the surface effect weakens the dynamic stress concentration. With the increase of wave number, the dynamic stress concentration factor (DSCF) decreases. Shear modulus and hole curvature have significant effects on DSCF.展开更多
文摘Scattering of the shear waves by a nano-sized cylindrical hole embedded the inhomogeneous is investigated in this study. The Helmholtz equation with a variable coefficient is transformed the standard Helmholtz equation by the complex function method and the conformal mapping method. By wave function expanding method, the analytical expressions of the displacement field and stress field in the inhomogeneous medium are obtained. Considering the surface effect and using the generalized Young-Laplace equation, we obtain the boundary conditions at nano arbitrary-shaped hole, then the field equations satisfying boundary conditions are attributed to solving a set of infinite algebraic equations. Numerical results show that when the radius of the cylindrical cavity shrinks to nanometers, surface energy becomes a dominant factor that affects the dynamic stress concentration factor (DSCF) around the cylindrical cavity. The influence the density variation of the inhomogeneity on the DSCF is discussed at the same time.
文摘改性油脂乙氧基化物磺酸盐(SNS-80)是一种以植物油脂为原料得到的绿色环保的阴离子型表面活性剂,安全无刺激,可广泛应用于各类洗涤剂产品中。分别采用旋转黏度计、Ross-Miles泡沫仪、帆布沉降法、振荡法和改进的酸滴定法测试了SNS-80的黏度、发泡稳泡性能、润湿、乳化和钙皂分散力,并测试了SNS-80在室温和(95±2)℃时的表观耐盐和耐碱性能;将SNS-80应用于机洗餐具用洗涤剂中,考察了其稳定性和去污性能,并与市售产品进行了比较。结果表明,SNS-80水溶液在整个浓度区间内都具有低的黏度,且无凝胶相区,起始泡沫高但消泡快,具有好的钙皂分散力,1 g SNS-80可以分散18.7 g钙皂;表观耐盐能力低温时较高温时好,对一价盐的耐受能力较二价盐高;而表观耐碱度则是在高温时好,在(95±2)℃时可高达168 g/L。与市售机洗餐具洗涤剂相比,以SNS-80为主活性物得到的产品具有更好的去污能力。
文摘The scattering of shear waves (SH waves) by nano-scale arbitrary shape inclusion in infinite plane is studied by complex variable function theory. Firstly, the governing equation and the relationships between stress and displacement are given by classical elastic theory. Secondly, the arbitrary shape inclusion in the two-dimensional plane is transformed into a unit circle domain by conformal mapping, the incident wave field and the scattered wave field are presented. Next, the stress and displacement boundary conditions are established by considering surface elasticity theory, The infinite algebraic equations for solving the unknown coefficients of the scattered and standing waves are obtained. Finally, the influence of surface effect, non-dimensional wave number, Shear modulus and hole curvature on the dynamic stress concentration factor are analyzed by some examples, the numerical results show that the surface effect weakens the dynamic stress concentration. With the increase of wave number, the dynamic stress concentration factor (DSCF) decreases. Shear modulus and hole curvature have significant effects on DSCF.
