Determination of coefficients of crack tip asymptotic fields using the scaled boundary finite element method

2005 ◽  
Vol 72 (13) ◽  
pp. 2019-2036 ◽  
Author(s):  
Steven R. Chidgzey ◽  
Andrew J. Deeks
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Tip ◽  
Scaled Boundary Finite Element ◽  
Asymptotic Fields ◽  
Element Method

Effect of Voids on a Magistral Crack in Piezoelectric Brittle Materials

2015 ◽  
Vol 665 ◽  
pp. 233-236
Author(s):  
Jan Sladek ◽  
Vladimir Sladek ◽  
Slavomir Krahulec ◽  
Der Liang Young
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Value Problems ◽  
Material Properties ◽  
Crack Tip ◽  
Volume Element ◽  
Effective Material Properties ◽  
Piezoelectric Solid ◽  
Scaled Boundary Finite Element

A large (magistral) crack is analyzed in a voided piezoelectric solid. The representative volume element (RVE) is analyzed for determination of influence of voids on material properties. The whole domain is divided into two subdomains. At the crack tip vicinity it is considered a subdomain with the crack tip and circular voids. Material properties correspond to the piezoelectric skeleton there. The rest part of analyzed domain is modeled by effective material properties obtained from analyses on the RVE. The scaled boundary finite element method (SBFEM) is applied to solve all boundary value problems.

SCALED BOUNDARY FINITE ELEMENT METHOD FOR ACOUSTICS

2006 ◽  
Vol 14 (04) ◽  
pp. 489-506 ◽  
Author(s):  
L. LEHMANN ◽  
S. LANGER ◽  
D. CLASEN
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Sound Propagation ◽  
Sound Field ◽  
Radiation Condition ◽  
The Finite Element Method ◽  
Scaled Boundary Finite Element ◽  
Element Method

When studying unbounded wave propagation phenomena, the Sommerfeld radiation condition has to be fulfilled. The artificial boundary of a domain discretized using standard finite elements produces errors. It reflects spurious energy back into the domain. The scaled boundary finite element method (SBFEM) overcomes this problem. It unites the concept of geometric similarity with the standard approach of finite elements assembly. Here, the SBFEM for acoustical problems and its coupling with the finite element method for an elastic structure is presented. The achieved numerical algorithm is best suited to study the sound propagation in an unbounded domain or interaction phenomena of a vibrating structure and an unbounded acoustical domain. The SBFEM is applied to study the sound transmission through a separating component, and for the determination of the sound field around a sound insulating wall. The results are compared with a hybrid algorithm of Finite and Boundary Elements or with the Boundary Element Method, respectively.

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