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• W76650907 abstract "The small wavelength elastic vibration often termed as ultrasonic are of widespread use today. It found wide implementation in non-destructive testing, geometric measurements, vibroageing processes. The ultrasonic measurements have won the strong position providing the reasonable amounts of information at comparatively low price in comparison with other alternative methods. By virtue, the ultrasonic measurements in solids and composite bodies of complicated geometrical shape often require to develop the case oriented equipment and image processing software basing upon the knowledge of the physical essence of the wave propagation in the environment under investigation. As powerful tools for modeling of the ultrasonic measurement process the finite element method (FEM) and/or boundary integral equation method (BIEM) can be used. The modeling of the ultrasonic wave propagation can be considered as the general small displacement transient structural dynamic problem the solution techniques of which has been perfectly described in the early 1980s by numerous researchers and implemented today in practically all the FEM software available on the market. However, the practical application of FEM or BIEM is not always easy and efficient. As a rule, FEM requires highly refined meshes for proper representation of the strain and displacement field taking place in a body the dimensions of which are of considerably larger size than the length of the elastic wave propagating in a body. In this way even simple academic problems often require huge amounts of computational resource and for many practical applications the real price of finite element modeling is prohibitive. BIEM does not have such restrictions on element meshes but the computational time required is huge. This work deals with the FEM approach by developing the mass matrix modification method already introduced in [5] trying to find ways for efficient numerical simulation of the above mentioned problems in 2D case. The efficiency of the method is understood as its speed and accuracy by using moderate computational resources. Solid body is considered as a body the material properties of which (Young’s modulus, density, Poison’s ratio) are close to metals. The wavelength of interest is defined basing on the ratio of the wavelength to dimensions of the body and might vary from the length comparable to the size of the body to the wavelength making only 1/1000 part of the body size. Investigation" @default.
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• W76650907 date "1998-01-01" @default.
• W76650907 modified "2023-09-24" @default.
• W76650907 title "Modelling techniques for ultrasonic wave propagation in solids: 2D case" @default.
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