671017.pdf

are looking for a second order accuracy, the coefficients 퐵푖of휅푖,푗expression must vanish in the same time with the correction te ...

coefficients훾푚. At each irregular point, these coefficients have to be evaluated by solving an undetermined system via an optimi ...

Debonded part Bonded part u nn = 0 nn = 0 u+ u (a) Debonded part Debonded part Bonded part Bonded part u u+ u nn = 0 nn = 0 x y ...

0 0. 5 1 0 0. 5 1 300 300. 05 300. 1 u (K) 300. 09 300. 08 300. 07 300. 06 300. 05 300. 04 300. 03 300. 02 300. 01 x(m) y(m) u ( ...

012 34 300 300. 02 300. 04 300. 06 300. 08 300. 1 Vertical cut u (K) 300 300. 02 300. 04 300. 06 300. 08 300. 1 u (K) Horizontal ...

300 350 400 450 500 1. 8 2 2.2 4 6 8 3 3 .2 Vo lume fraction Vo lume fraction Vo lume fraction Vo lume fraction f = 10 % f = 3 ...

300. 09 300. 08 300. 07 300. 06 300. 05 300. 04 300. 03 300. 02 300. 01 u (K) (a) 400. 09 400. 08 400. 07 400. 06 400. 05 400. 0 ...

0 50 100 150 200 1. 5 1. 6 1 .7 1. 8 1 .9 2 1 2.2 3 P(MPa) K eff (W/m/K) u = 350K u = 450K u = 550K (a) 300 350 400 450 500 ...

[12] F.Ni,G.Q.Gu,andK.M.Chen,“Effectivethermalconductivity of nonlinear composite media with contact resistance,”Interna- tional ...

Hindawi Publishing Corporation Journal of Applied Mathematics Volume 2013, Article ID 739068, 10 pages http://dx.doi.org/10.1155 ...

2. Classical Elastoplastic Theory of Geomaterials The incremental form of a stress-strain relationship in tradi- tional geomecha ...

where휆푘(푖 = 1,2,3)are the coefficients. Suppose that the principal directions ofd휀pand휎푖are the same, and we substitute ( 14 )in ...

In matrix form, this is {d휀푝}=휆 1 { 휕푝 휕휎 }+휆 2 { 휕푞 휕휎 }. (29) It is obvious that 휆 1 =d휀V푝,휆 2 =d휀푝. (30) According to (27a), ...

where [퐷휀푝]=(퐾푒−퐴){ 휕휀V 휕휀 }{ 휕휀V 휕휀 } 푇 −퐵{ 휕휀V 휕휀 }{ 휕휀 휕휀 } 푇 −퐶{ 휕휀 휕휀 }{ 휕휀V 휕휀 } 푇 + (3퐺푒−퐷){ 휕휀 휕휀 }{ 휕휀 휕휀 } 푇 , (45b) t ...

(33a), and (33b). Substituting (50a)and(50b)into( 42 ), (45a), (45b), and (45c) yields the expression in strain space [퐷휀푒푝] =[퐷 ...

The above-mentioned modification method can be extended to other elastoplastic models. The correction coeffi- cients휉and휁canbefi ...

0 10 20 30 40 50 0 5 10 15 20 Axial strain (%) Deviation stress ( 100 kPa) (a) 0 5 10 15 20 Experimental result ( 300 kPa) MPS m ...

9. Conclusions The main tasks in establishing the constitutive equations for geomaterials are the determination of stress-strain ...

[25] K. Hashiguchi and Z.-P. Chen, “Elastoplastic constitutive equa- tion of soils with the subloading surface and the rotationa ...

Hindawi Publishing Corporation Journal of Applied Mathematics Volume 2013, Article ID 784583, 19 pages http://dx.doi.org/10.1155 ...