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A Robust Adaptive Algorithm for Material Force Driven Brittle Fracture Based on Incremental Energy Minimization
Date
2006-09-01
Author
Miehe, Christian
Gürses, Ercan
Zimmermann, Dominik
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https://hdl.handle.net/11511/84291
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A robust algorithm for configurational-force-driven brittle crack propagation with R-adaptive mesh alignment
MIEHE, CHRISTIAN; Gürses, Ercan (2007-10-08)
The paper considers a variational formulation of brittle fracture in elastic solids and proposes a numerical implementation by a finite element method. On the theoretical side, we outline a consistent thermodynamic framework for crack propagation in an elastic solid. It is shown that both the elastic equilibrium response as well as the local crack evolution follow in a natural format by exploitation of a global Clausius-Planck inequality in the sense of Coleman's method. Here, the canonical direction of the...
A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization
MIEHE, CHRISTIAN; Gürses, Ercan; BIRKLE, MANUEL (Springer Science and Business Media LLC, 2007-06-01)
A variational formulation of quasi-static brittle fracture in elastic solids at small strains is proposed and an associated finite element implementation is presented. On the theoretical side, a consistent thermodynamic framework for brittle crack propagation is outlined. It is shown that both the elastic equilibrium response as well as the local crack evolution follow in a natural format by exploitation of a global Clausius-Planck inequality. Here, the canonical direction of the crack propagation associate...
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In this study, n-peptide compositions are utilized for protein vectorization over a discriminative remote homology detection framework based on support vector machines (SVMs). The size of amino acid alphabet is gradually reduced for increasing values of n to make the method to conform with the memory resources in conventional workstations. A hash structure is implemented for accelerated search of n-peptides. The method is tested to see its ability to classify proteins into families on a subset of SCOP famil...
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This work introduces a novel, unconditionally stable and fully coupled finite element method for the bidomain system of equations of cardiac electrophysiology. The transmembrane potential phi(i) - phi(e) and the extracellular potential phi(e) are treated as independent variables. To this end, the respective reaction-diffusion equations are recast into weak forms via a conventional isoparametric Galerkin approach. The resultant nonlinear set of residual equations is consistently linearised. The method result...
A numerically stable algorithm for scattering from several circular cylinders including metamaterials with different boundary conditions
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The analytically obtained algebraic equation systems for the TM/TE-z polarized monochromatic waves scattering from eccentrically layered circular cylinders are ill-conditioned for numerical calculations. Therefore, such ill conditioned systems must be regularized for reliable numerical results. Here, the steps of the regularization of the ill conditioned system obtained for the scattered field from a circular metamaterial cylinder includes three parallel circular cylinders: a dielectric, an impedance and a ...
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C. Miehe, E. Gürses, and D. Zimmermann, “A Robust Adaptive Algorithm for Material Force Driven Brittle Fracture Based on Incremental Energy Minimization,” 2006, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/84291.