Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
From MaRDI portal
Publication:1171928
DOI10.1007/BF01295569zbMath0499.73112OpenAlexW2332683290MaRDI QIDQ1171928
Publication date: 1982
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01295569
penny-shaped crackapplicationstraight crackfinite-part integralconstant pressureincorporation of Laplace operator into integrandone-dimensional finite part integralsplane crack of arbitrary shapesingularity of order twothree-dimensional isotropic elastic medium
Approximate quadratures (41A55) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Brittle damage (74R05) Numerical integration (65D30)
Related Items
Contact interaction between crack edges under a dynamic load, Numerical evaluation of hypersingular integrals, Complex hypersingular integrals and integral equations in plane elasticity, Mixed-mode stress intensity factors of 3D interface crack in fully coupled electromagnetothermoelastic multiphase composites, Remarks on the Gaussian quadrature rule for finite-part integrals with a second-order singularity, Regularized product intergration for Hadamard finite part integrals, Integral evaluation in the BEM solution of (hyper)singular integral equations. 2D problems on polygonal domains, Dynamic BE analysis of 3-D cracks in transversely isotropic solids, Problems of dynamic fracture mechanics with allowance for contact of the crack edges, Finite part representations of hypersingular integral equation of acoustic scattering and radiation by open smooth surfaces, Boundary perturbations due to the presence of small linear cracks in an elastic body, FINITE PART INTEGRALS ASSOCIATED WITH RIESZ AND HILFER DERIVATIVES, Regularization of divergent integrals: a comparison of the classical and generalized-functions approaches, On uniform approximations to hypersingular finite-part integrals, Regularization of hypersingular integrals in 3-D fracture mechanics: triangular BE, and piecewise-constant and piecewise-linear approximations, Two methods for the numerical solution of Bueckner's singular integral equation for plane elasticity crack problems, A modified Gauss quadrature formula with special integration points for evaluation of quasi-singular integrals, Newton methods for a class of nonlinear hypersingular integral equations, Derivation of exact expressions for two-dimensional singular and finite-part integrals applicable in solid mechanics, Dugdale model solutions for a penny-shaped crack in three-dimensional transversely isotropic piezoelectric media by boundary integral equation method, An approach based on generalized functions to regularize divergent integrals, Complex variables boundary element analysis of three-dimensional crack problems, Analysis of 3D fluid driven crack propagation problem in co-seismic slip under \(P\)- and \(S\)-waves by hybrid hypersingular integral method, Numerical solutions of hypersingular integral equations for interface circular crack under axisymmetric loadings, A hyperbolic tangent quadrature rule for solving singular integral equations with Hadamard finite part integrals, Hypersingular integrals in plane problems of the theory of elasticity, On the Numerical Evaluation of a Class of Finite-Part Integrals, A new algorithm for Cauchy principal value and Hadamard finite-part integrals, On weighted Hadamard-type singular integrals and their applications, On the numerical integration of certain singular integrals, Exact solution of some integral equations over a circular disc, Tip behaviour for cracks in bonded inhomogeneous materials, Finite-part integral and boundary element method to solve flat crack problems, Hybrid boundary element analysis for surface cracks, Fracture Dynamics with Allowance for Crack Edge Contact Interaction, THREE-DIMENSIONAL ANALYSIS OF ARBITRARY-SHAPED CRACKS IN PIEZOELECTRIC SOLIDS UNDER SHEAR LOADING, Two-dimensional principal value hypersingular integrals for crack problems in three-dimensional elasticity, Finite-part integrals in problems of three-dimensional cracks, A numerical solution technique of hypersingular integral equation for curved cracks, A method of numerical solution of Cauchy-type singular integral equations with generalized kernels and arbitrary complex singularities, On Kutt's Gaussian quadrature rule for finite-part integrals, The location of discontinuity intervals of sectionally analytic functions: Applications to the interface crack problem, Fingering instability in buoyancy-driven fluid-filled cracks, Application of Betti's reciprocal work theorem to the construction of the hypersingular integral equation of a plane crack in three-dimensional elasticity, Automatic derivation of positivity conditions inside boundary elements with the help of the REDLOG computer logic package., An implicit algorithm for the propagation of a hydraulic fracture with a fluid lag, Numerical solution for an epicycloid crack, Method of strongly singular integral equation for the torsion of cylinder with edge crack, On the approximate computation of certain strongly singular integrals, The Gauss-Laguerre quadrature rule for finite-part integrals, Solution of a class of two-dimensional integral equations
Cites Work
- On the numerical evaluation of derivatives of Cauchy principal value integrals
- One more approach to the computation of Cauchy principal value integrals
- The numerical evaluation of principal value integrals by finite-part integration
- An integral equations method for solving the problem of a plane crack of arbitrary shape
- Three-dimensional crack analysis
- The evaluation of certain two-dimensional singular integrals used in three-dimensional elasticity
- On the numerical evaluation of two-dimensional principal value integrals
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
