Results 61 to 70 of about 296 (145)
Numerical solutions of S.I.E. using Lobatto-Chebyshev quadrature and overdetermined systems
Many problems of mathematical physics are reducible to singular integral equations with Cauchy-type kernels. Of concern here are the Lobatto-Chebyshev formulae for the numerical solutions of singular integral equations of the Cauchy-type.
전지현
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Boundary element analysis of anisotropic thermoelastic half-space containing thin deformable inclusions [PDF]
За допомогою розширеного формалізму Стро й теорії функції комплексної змінної побудовано інтегральні рівняння типу Сомільяни плоскої задачі термопружності для анізотропного півпростору, що містить отвори, тріщини та тонкі жорсткі та деформівні включення.
Tomashivskyy, M. +4 more
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The technique of distributed dislocations proved to be in the past an effective approach in studying crack problems within classical elasticity. The present work is intended to extend this technique in studying crack problems within couple-stress ...
Gourgiotis, P.A. +5 more
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In the three-dimensional domain a Boussinesq type nonlinear partial integro-differential equation of the fourth order with a degenerate kernel, integral form conditions, spectral parameters and reflecting argument is considered.
Yuldashev, Tursun Kamaldinovich
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The relative scarcity of results that guarantee the existence of solutions for boundary value problems on unbounded domains, contrasts with the high applicability on real problems with differential equations defined on the half-line or on the whole real ...
Minhós, Feliz +3 more
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Compliance matrices for cracked bodies
An algorithm is presented which can be used to develop compliance matrices for cracked bodies. The method relies on the numerical solution of singular integral equations with Cauchy-type kernels and provides an efficient and accurate procedure for ...
Ballarini, R.
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Decay estimates for space-time fractional equations with structural damping and nonlinear memory
We study a wide class of space-time fractional equations with structural damping and nonlinear memory: $$ \partial^{2\alpha}_t u(t,x)+\mu (-\Delta)^{\frac{\sigma}{2}}\partial^\alpha_t u(t,x)+(-\Delta)^\sigma u(t,x)=I^{1-\alpha}_{0^+}f(t,x), $$ $t ...
Marques, Jorge, Faustino, Nelson
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Solution of dislocation and crack problems in generalized continuum theories
Introduction: This dissertation is entitled “Solution of Dislocation and Crack Problems in Generalized Continuum Theories”. The subject of this work is the solution of dislocation, crack and notch problems within the framework of Couple-Stress and ...
Gourgiotis, Panagiotis +1 more
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The conventional complex variable boundary integral equation (CVBIE) based on the conventional Cauchy integral formula is powerful and suitable to solve two-dimensional problems.
Lee, Jia-Wei, 李家瑋
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Interaction between a crack and a soft inclusion
With the application to weld defects in mind, the interaction problem between a planar-crack and a flat inclusion in an elastic solid is considered.
Erdogan, F., Xue-Hui, L.
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