Finite cell method for detection of flaws in plate structures using dynamic responses

Structures ◽  
2021 ◽  
Vol 34 ◽  
pp. 327-338
Author(s):  
P. Zakian ◽  
M. Nadi ◽  
M. Tohidi
Keyword(s):  
Dynamic Responses ◽  
Finite Cell Method ◽  
Plate Structures ◽  
Cell Method ◽  
Finite Cell

scholarly journals Finite cell method for functionally graded materials based on V-models and homogenized microstructures

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
Benjamin Wassermann ◽  
Nina Korshunova ◽  
Stefan Kollmannsberger ◽  
Ernst Rank ◽  
Gershon Elber
Keyword(s):  
Functionally Graded Materials ◽  
Large Scale ◽  
Functionally Graded ◽  
Material Behavior ◽  
Modeling Framework ◽  
Finite Cell Method ◽  
Geometric Framework ◽  
Graded Materials ◽  
Cell Method ◽  
Finite Cell

AbstractThis paper proposes an extension of the finite cell method (FCM) to V-rep models, a novel geometric framework for volumetric representations. This combination of an embedded domain approach (FCM) and a new modeling framework (V-rep) forms the basis for an efficient and accurate simulation of mechanical artifacts, which are not only characterized by complex shapes but also by their non-standard interior structure. These types of objects gain more and more interest in the context of the new design opportunities opened by additive manufacturing, in particular when graded or micro-structured material is applied. Two different types of functionally graded materials (FGM) are considered: The first one, multi-material FGM is described using the inherent property of V-rep models to assign different properties throughout the interior of a domain. The second, single-material FGM—which is heterogeneously micro-structured—characterizes the effective material behavior of representative volume elements by homogenization and performs large-scale simulations using the embedded domain approach.

scholarly journals Hierarchical multigrid approaches for the finite cell method on uniform and multi-level hp-refined grids

2021 ◽  
Vol 386 ◽  
pp. 114075
Author(s):  
J. Jomo ◽  
O. Oztoprak ◽  
F. de Prenter ◽  
N. Zander ◽  
S. Kollmannsberger ◽  
...  
Keyword(s):  
Finite Cell Method ◽  
Cell Method ◽  
Multi Level ◽  
Finite Cell

scholarly journals Dual weighted residual error estimation for the finite cell method

2019 ◽  
Vol 27 (2) ◽  
pp. 101-122 ◽  
Author(s):  
Paolo Di Stolfo ◽  
Andreas Rademacher ◽  
Andreas Schröder
Keyword(s):  
Error Estimation ◽  
Error Control ◽  
Combined Treatment ◽  
Adaptive Strategy ◽  
Two Dimensional ◽  
Weighted Residual Method ◽  
Finite Cell Method ◽  
Cell Method ◽  
Quadrature Error ◽  
Finite Cell

Abstract The paper presents a goal-oriented error control based on the dual weighted residual method (DWR) for the finite cell method (FCM), which is characterized by an enclosing domain covering the domain of the problem. The error identity derived by the DWR method allows for a combined treatment of the discretization and quadrature error introduced by the FCM. We present an adaptive strategy with the aim to balance these two error contributions. Its performance is demonstrated for several two-dimensional examples.

The Finite Cell Method: High Order Simulation of Complex Structures without Meshing

2009 ◽  
pp. 87-92 ◽  
Author(s):  
Ernst Rank ◽  
Alexander Düster ◽  
Dominik Schillinger ◽  
Zhengxiong Yang
Keyword(s):  
High Order ◽  
Complex Structures ◽  
Finite Cell Method ◽  
Cell Method ◽  
Finite Cell

An extension of the finite cell method using boolean operations

2017 ◽  
Vol 59 (5) ◽  
pp. 877-886 ◽  
Author(s):  
Alireza Abedian ◽  
Alexander Düster
Keyword(s):  
Boolean Operations ◽  
Finite Cell Method ◽  
Cell Method ◽  
Finite Cell

Finite Cell Method implementation and validation of a nonlocal integral damage model

2017 ◽  
Vol 128-129 ◽  
pp. 401-413 ◽  
Author(s):  
M. Ranjbar ◽  
M. Mashayekhi ◽  
J. Parvizian ◽  
A. Düster ◽  
E. Rank
Keyword(s):  
Damage Model ◽  
Finite Cell Method ◽  
Cell Method ◽  
Finite Cell
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