Nowadays vehicle design paradigm influences not only the effectiveness of the different means of transport, but also the environment and economy in a critical way. The assessment of the consequence ...

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On the ECO2 multifunctional design paradigm and tools for acoustic tailoring

A variational space–time formulation to treat acoustics problems in porous medium is developed. At first, no separation of the space and time has been applied in the approximation of the field variables. This produces a matrix variational formulation for more general numerical treatments. Finally, separation of variables has been applied to produce a simpler space–time formulation, in which the numerical treatment of the space domain and the time integration algorithms can be identified. The numerical treatment has been oriented to find symmetry in the space and time domains. Numerical simulation in the frequency domain and in the time domain have been performed to validate the variational formulation with separation of variables.

Acoustics in anisotropic poroelasticity: space–time variational formulation

A modelling approach for studying waves in elastic and poro-elastic cylinders with spatially varying anisotropy is proposed. The formulation utilizes a spatial Fourier expansion for the azimuthal angle is used for the Hooke's tensor and the dependent variables. This causes the orthogonality of the modes to break down, and the modes will, sometimes to a very high degree, spread. The special case of anisotropic media having principal directions coinciding with a Cartesian coordinate system is studied, and the degree of mode spreading is discussed.

Waves in elastic and poro-elastic cylinders with spatially varying anisotropy

A weak form of the anisotropic Biot's equation represented in a cylindrical coordinate system using a spatial Fourier expansion in the circumferential direction is presented. The original three dim ...

Nils Hörlin

Papers

Weak forms for modelling of rotationally symmetric, multilayered structures, including anisotropic poro-elastic media