Finite elements with mesh refinement for elastic wave propagation in polygons

2015 ◽  
Vol 39 (17) ◽  
pp. 5027-5042 ◽  
Author(s):  
Fabian Müller ◽  
Christoph Schwab
Keyword(s):  
Wave Propagation ◽  
Finite Elements ◽  
Elastic Wave ◽  
Mesh Refinement ◽  
Elastic Wave Propagation

scholarly journals Elastic Wave Propagation for Condition Assessment of Steel Bar Embedded in Mortar

2015 ◽  
Vol 20 (1) ◽  
pp. 159-170 ◽  
Author(s):  
M. Rucka ◽  
B. Zima
Keyword(s):  
Wave Propagation ◽  
Finite Elements ◽  
Elastic Wave ◽  
Elastic Waves ◽  
Condition Assessment ◽  
Elastic Wave Propagation ◽  
Longitudinal Waves ◽  
Numerical Investigations ◽  
Steel Bar ◽  
Steel Bars

Abstract This study deals with experimental and numerical investigations of elastic wave propagation in steel bars partially embedded in mortar. The bars with different bonding lengths were tested. Two types of damage were considered: damage of the steel bar and damage of the mortar. Longitudinal waves were excited by a piezoelectric actuator and a vibrometer was used to non-contact measurements of velocity signals. Numerical calculations were performed using the finite elements method. As a result, this paper discusses the possibility of condition assessment in bars embedded in mortar by means of elastic waves.

Local time–space mesh refinement for simulation of elastic wave propagation in multi-scale media

2015 ◽  
Vol 281 ◽  
pp. 669-689 ◽  
Author(s):  
Victor Kostin ◽  
Vadim Lisitsa ◽  
Galina Reshetova ◽  
Vladimir Tcheverda
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Local Time ◽  
Mesh Refinement ◽  
Elastic Wave Propagation ◽  
Multi Scale ◽  
Time Space

scholarly journals FICTITIOUS DOMAINS, MIXED FINITE ELEMENTS AND PERFECTLY MATCHED LAYERS FOR 2-D ELASTIC WAVE PROPAGATION

2001 ◽  
Vol 09 (03) ◽  
pp. 1175-1201 ◽  
Author(s):  
E. BÉCACHE ◽  
P. JOLY ◽  
C. TSOGKA
Keyword(s):  
Boundary Condition ◽  
Wave Propagation ◽  
Finite Elements ◽  
Elastic Wave ◽  
Heterogeneous Media ◽  
Mixed Finite Elements ◽  
Time Discretization ◽  
Elastic Wave Propagation ◽  
Perfectly Matched Layers ◽  
Simple Geometry

We design a new and efficient numerical method for the modelization of elastic wave propagation in domains with complex topographies. The main characteristic is the use of the fictitious domain method for taking into account the boundary condition on the topography: the elastodynamic problem is extended in a domain with simple geometry, which permits us to use a regular mesh. The free boundary condition is enforced introducing a Lagrange multiplier, defined on the boundary and discretized with a nonuniform boundary mesh. This leads us to consider the first-order velocity-stress formulation of the equations and particular mixed finite elements. These elements have three main nonstandard properties: they take into account the symmetry of the stress tensor, they are compatible with mass lumping techniques and lead to explicit time discretization schemes, and they can be coupled with the Perfectly Matched Layer technique for the modeling of unbounded domains. Our method permits us to model wave propagation in complex media such as anisotropic, heterogeneous media with complex topographies, as it will be illustrated by several numerical experiments.

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