The present paper aims at the establishment of the weak form for the boundary value problem of composites with general imperfect interfaces, which is the first key step towards numerically implementing the imperfect interface effects within the framework of finite element. To achieve this objective, ...
Weak form: Find such that u i ∈U Variational principle ? Π= 1 2 u i, j C ijkl u k,l dΩ Ω ∫ − w i t i dΓ Γ t ∫ − w i b i dΩ Ω ∫ δΠ= 0 School of Aerospace, Tsinghua University 3/4 Finite Element Method 5.1 强形式和弱形式 Matrix form u ...
Discussion of the result Here, we consider, certain structural hypothe- sis on transport coefficient and a particular form of presuure. The condition (4.6) somehow suggests that the entropy is bounded and this is a much weaker assumption than the previous result as (4.1) implies (4.6). A ...
In the current work, a new aspect of the weak form meshless local Petrov–Galerkin method (MLPG), which is based on the particular solution is presented and well-used to numerical investigation of the two-dimensional diffusion equation with non-classical boundary condition. Two-dimensional diffusion...
4.1 强形式和弱形式 Matrix formAxisymmetricPlane strain 4.1 强形式和弱形式 Three Dimensions 第4章 线弹性问题的有限元格式4.2 多维问题的近似函数Approximations for Multidimensional Problems Three-Node Triangular ElementTetrahedral ElementsFour-node Rectangular ElementFour-node Quadrilateral ElementHexahedral Elements...
The large tensile ductility arises owing to the high work-hardening capability of the as-printed hierarchical microstructures in the form of dual-phase nanolamellae embedded in microscale eutectic colonies, which have nearly random orientations to promote isotropic mechanical properties. The mechanistic ...
Instead, we perform finite-element frequency-domain (FEFD) calculations of the current distribution within the metal layer to identify and remove areas of low current density, which are irrelevant to the performance of the resonator. In addition, we exploit the symmetries of the structure to merge...
Even when neglecting the fluid mechanics, uniqueness of weak solutions in form of a weak-strong uniqueness principle is in general the best one can expect also for interface evolution problems. In this context, this is due to the formation of singularities and topology changes; see already, for...
strong form technique based on the particular solutions of anisotropic radial basis functions (A-RBFs) is extended to deal with anisotropic problem directly. The A-RBFs are constructed by introducing a special norm associated to the appearing anisotropic tensor and replacing it with the standard ...
The same approach has also been established as a special case of stabilization in the framework of finite increment calculus (FIC) [5], [6] and used in [7] with a strong-form meshless finite point method. This interpretation of the upwind (4) was adapted also for other meshless methods,...