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The Asian Institute of Technology (AIT),founded in 1959,is an international organization for higher education situated 40km north of Bangkok,Thailand. It specializes in engineering,advanced technologies,sustainable development,and management and planning. It aims to promote technological change and sustainable development in the Asia-Pacific region,through higher education,research,and outreach.
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In mathematics a radial basis function (RBF) is a real-valued function whose value depends only on the distance between the input and some fixed point,either the origin,so that ,or some other fixed point ,called a center,so that . Any function that satisfies the property is a radial function. The distance is usually Euclidean distance,although other metrics are sometimes used. They are often used as a collection which forms a basis for some function space of interest,hence the name.
In the field of numerical analysis,meshfree methods are those that do not require connection between nodes of the simulation domain,i.e. a mesh,but are rather based on interaction of each node with all its neighbors. As a consequence,original extensive properties such as mass or kinetic energy are no longer assigned to mesh elements but rather to the single nodes. Meshfree methods enable the simulation of some otherwise difficult types of problems,at the cost of extra computing time and programming effort. The absence of a mesh allows Lagrangian simulations,in which the nodes can move according to the velocity field.
In solid mechanics,a shear band is a narrow zone of intense strain due to shearing,usually of plastic nature,developing during severe deformation of ductile materials. As an example,a soil specimen is shown in Fig. 1,after an axialsymmetric compression test. Initially the sample was cylindrical in shape and,since symmetry was tried to be preserved during the test,the cylindrical shape was maintained for a while during the test and the deformation was homogeneous,but at extreme loading two X-shaped shear bands had formed and the subsequent deformation was strongly localized.
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In mathematics,in particular numerical analysis,the FETI method is an iterative substructuring method for solving systems of linear equations from the finite element method for the solution of elliptic partial differential equations,in particular in computational mechanics In each iteration,FETI requires the solution of a Neumann problem in each substructure and the solution of a coarse problem. The simplest version of FETI with no preconditioner in the substructure is scalable with the number of substructures but the condition number grows polynomially with the number of elements per substructure. FETI with a preconditioner consisting of the solution of a Dirichlet problem in each substructure is scalable with the number of substructures and its condition number grows only polylogarithmically with the number of elements per substructure. The coarse space in FETI consists of the nullspace on each substructure.
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Klaus-Jürgen Bathe is a civil engineer,professor of mechanical engineering at the Massachusetts Institute of Technology,and founder of ADINA R&D,who specializes in computational mechanics. Bathe is considered to be one of the pioneers in the field of finite element analysis and its applications.
Introduction
Metallurgical failure analysis is the process to determine the mechanism that has caused a metal component to fail. It can identify the cause of failure,providing insight into the root cause and potential solutions to prevent similar failures in the future,as well as culpability,which is important in legal cases. Resolving the source of metallurgical failures can be of financial interest to companies. The annual cost of corrosion in the United States was estimated by NACE International in 2012 to be $450 billion a year,a 67% increase compared to estimates for 2001. These failures can be analyzed to determine their root cause,which if corrected,would save reduce the cost of failures to companies.
False diffusion is a type of error observed when the upwind scheme is used to approximate the convection term in convection–diffusion equations. The more accurate central difference scheme can be used for the convection term,but for grids with cell Peclet number more than 2,the central difference scheme is unstable and the simpler upwind scheme is often used. The resulting error from the upwind differencing scheme has a diffusion-like appearance in two- or three-dimensional co-ordinate systems and is referred as "false diffusion". False-diffusion errors in numerical solutions of convection-diffusion problems,in two- and three-dimensions,arise from the numerical approximations of the convection term in the conservation equations. Over the past 20 years many numerical techniques have been developed to solve convection-diffusion equations and none are problem-free,but false diffusion is one of the most serious problems and a major topic of controversy and confusion among numerical analysts.
Model order reduction (MOR) is a technique for reducing the computational complexity of mathematical models in numerical simulations. As such it is closely related to the concept of metamodeling,with applications in all areas of mathematical modelling.
Scott William Sloan (2 July 1954 –23 April 2019 was laureate Professor of Civil Engineering at the University of Newcastle.
Kam Tim Chau (周錦添) is an engineering educator. He is an adjunct professor at the Chinese University of Hong Kong and was the Chair Professor in Geotechnical Engineering at The Hong Kong Polytechnic University and was the former President of the Hong Kong Society of Theoretical and Applied Mechanics. He authored three text books in geomechanics and engineering mathematics entitled "Analytic Methods in Geomechanics" (2013) published by CRC Press,"Theory of Differential Equations in Engineering and Mechanics" (2018) published by CRC Press,and "Applications of Differential Equations in Engineering and Mechanics" (2019) also published by CRC Press.
The finite point method (FPM) is a meshfree method for solving partial differential equations (PDEs) on scattered distributions of points. The FPM was proposed in the mid-nineties in,and with the purpose to facilitate the solution of problems involving complex geometries,free surfaces,moving boundaries and adaptive refinement. Since then,the FPM has evolved considerably,showing satisfactory accuracy and capabilities to deal with different fluid and solid mechanics problems.
Anders Szepessy is a Swedish mathematician.
Magd Abdel Wahab is a Belgian academic,researcher,author and Imam of Islam. He is full professor and chair of applied mechanics at Ghent University,Belgium,where he is also the Head of Finite Element Modelling Research Group of Laboratory Soete.
Momentum mapping format is a key technique in the Material Point Method (MPM) for transferring physical quantities such as momentum,mass,and stress between a material point and a background grid.
References
- ↑ "Executive Director". scii.chula.ac.th. Retrieved 2022-07-18.
- ↑ "Prof Worsak Kanok-Nukulchai is new AIT President - Asian Institute of Technology" . Retrieved 2022-07-18.
- ↑ Kanok-Nukulchai, Worsak (12 June 2020). "How engineering can adapt to the 'new normal'". Bangkok Post. Retrieved 2022-07-18.
- ↑ Bohwongprasert, Yvonne (3 September 2014). "Something for everyone". Bangkok Post. Retrieved 2022-07-18.
- ↑ Kanok-Nukulchai, Worsak (18 April 2020). "Taking the fight to Covid-19 using simple mathematics". Bangkok Post. Retrieved 2022-07-18.
- ↑ Hughes, Thomas J. R.; Taylor, Robert L.; Kanoknukulchai, Worsak (1977). "A simple and efficient finite element for plate bending". International Journal for Numerical Methods in Engineering. 11 (10): 1529–1543. Bibcode:1977IJNME..11.1529H. doi:10.1002/nme.1620111005. ISSN 0029-5981.
- ↑ Hughes, Thomas J. R.; Taylor, Robert L.; Sackman, Jerome L.; Curnier, Alain; Kanoknukulchai, Worsak (1976-07-01). "A finite element method for a class of contact-impact problems". Computer Methods in Applied Mechanics and Engineering. 8 (3): 249–276. Bibcode:1976CMAME...8..249H. doi:10.1016/0045-7825(76)90018-9. ISSN 0045-7825.