Boundary Element Methods in Applied Mechanics. Proceedings by Masataka Tanaka

By Masataka Tanaka

This complaints incorporates a wide variety of computational mechanics papers on either reliable and fluid mechanics in addition to electromagnetics, acoustics, warmth move and different interdisciplinary difficulties. issues lined comprise theoretical advancements, numerical research, clever and adaptive resolution suggestions and useful functions.

Show description

Read or Download Boundary Element Methods in Applied Mechanics. Proceedings of the First Joint Japan/US Symposium on Boundary Element Methods, University of Tokyo, Tokyo, Japan, 3–6 October 1988 PDF

Similar applied books

The Scientific Papers of Sir Geoffrey Ingram Taylor (Aerodynamics and the Mechanics of Projectiles and Explosions)

Sir Geoffrey Ingram Taylor (1886-1975) used to be a physicist, mathematician and specialist on fluid dynamics and wave concept. he's largely thought of to be one of many maximum actual scientists of the 20 th century. throughout those 4 volumes, released among the years 1958 and 1971, Batchelor has gathered jointly nearly 2 hundred of Sir Geoffrey Ingram Taylor's papers.

Elements of Applied Bifurcation Theory

This can be a e-book on nonlinear dynamical structures and their bifurcations below parameter edition. It presents a reader with a fantastic foundation in dynamical structures thought, in addition to particular tactics for software of normal mathematical effects to specific difficulties. detailed consciousness is given to effective numerical implementations of the constructed ideas.

Additional resources for Boundary Element Methods in Applied Mechanics. Proceedings of the First Joint Japan/US Symposium on Boundary Element Methods, University of Tokyo, Tokyo, Japan, 3–6 October 1988

Example text

Therefore, a tensor function h^j i s introduced such that Vj,nmnn " « i j F ** i β J^ *ij,j (35) Finally, substituting this expression into equation (33) yields the desired particular integral for displacement rate • u ? jJ is postulated, equation (35) would provide hj^ and then via equation (3tfT particular integrals for iij can be calculated. For general i n i t i a l stress rate distribution, tensor h^(x) can be expressed in terms of a f i c t i t i o u s tensor density δ ^ ί ξ ) as i n infinite series using a suitable global shape function Ο(χ,ξ): 32 h^ix) = l 0(χ,ξη) %^(ξη) η=ι where 0<χ,ξη) = A< [Ρ4 - b n P 5 ] The unknown fictitious densities are related to the initial through equation (35).

In our test problem some boundary conditions can be fulfilled exactly, naimly the conditions resulting from symmetry. R2<3~1)coa [2(j-1)0j (19) problem 2 N u(x,y) = E l XjR 2;M cos[(2j-l)#J 3=1 ii) singular logarithmic functions problems 1 and 3 u(x,y) = I I Xjln{[(x - P;j (20) ) 2 + (y - q j ) 2 > <[(χ - P J ) 2 + ( y + q ; j ) 2 J ! > + P j > 2 + (y - (21) qj)2> >[(x + P j ) 2 + (y + q j ) 2 J J problem 2 -H- Xjln {[(x u ( x , y ) = ΣΖ - P j ). 2 +. ,(y. - q-j), 2 J. [ ( x - P j ) 2 + (y + q j ) 2 ] / [ ( x + P j ) 2 + ( y - (22) qj)2] [(x + p d ) 2 + ( y + q d ) 2 J } where ( R, Θ) a r e t h e p o l a r c o o r d i n a t e s , ( P J * C H ) a r e t h e c o o r d i ­ n a t e s of s i n g u l a r p o i n t s which l i e o u t s i d e t n e r e g i o n Jl.

All distances are nondimensionalized by a characteristic length A Q . ξ η )0(ξ η ) n=i D where i(x·^ s (30) Κ ^ ( χ . ξ η )0(ξ η ) n=i (31) where Κ(χ,ξ η ) = 0 , ί ί ( χ . ξ η ) - [2d - 3(l+d) b n p] The analysis then follows that developed for the eigenfrequency analysis. A number of complex two and three-dimensional applications t o both steadystate as w e l l as transient thermal s t r e s s analyses can be found i n Henry (1987) and Henry and Banerjee (1988a). HLASTOPLASTIC ANALYSIS The e l a s t c p l a s t i c , inhcmogeneous d i f f e r e n t i a l equation can be written in operator notation as: L(U£) = a j j j (32) In the present formulation, the two- and three-dimensional particular integrals for displacement rates are related to the Galerkin vector F* via (Fung, 1968) u£ β F i,kk " T~ F k,ki' w n e r e v *s Boisson's ratio.

Download PDF sample

Rated 4.43 of 5 – based on 36 votes