Analysis of Bernoulli beams with 3D stochastic heterogeneity
Tài liệu tham khảo
Howe, 1988, Applications of polysilicon films in microsensors and microactuators, Mater Res Symp Proc, 106, 213, 10.1557/PROC-106-213
Kamins, 1998
Beran, 1996, Bounding elastic constants of an orthotropic polycrystal using measurement of microstructure, J Mech Phys Solids, 44, 1543, 10.1016/0022-5096(96)00052-X
Mason, 1999, Use of microstructural statistics in predicting polycrystalline material properties, Metall Mater Trans A, 30, 969, 10.1007/s11661-999-0150-5
Serre, 1999, Determination of micromechanical properties of thin films by beam bending measurements with an atomic force microscope, Sensors Actuators, A, 74, 134, 10.1016/S0924-4247(98)00347-1
Adams, 2001, Microstructure-sensitive design of a compliant beam, J Mech Phys Solids, 49, 1639, 10.1016/S0022-5096(01)00016-3
Mirfendereski, 1992, Analysis of microfanricated textured multicrystalline beams: II. Probabilistic approach, Mater Res Symp Proc, 276, 97, 10.1557/PROC-276-97
Willis, 1996, A micro-mechanics-based non local constitutive equations and estimates of representative volume element size for elastic composites, J Mech Phys Solids, 44, 497, 10.1016/0022-5096(96)00007-5
Ostoja-Starzewski, 1998, Random field models of heterogeneous materials, Int J Solids Struct, 35, 2429, 10.1016/S0020-7683(97)00144-3
Somoroff, 1970, A variational approach to statistically nonhomogeneous fields, Q Appl Math, 28, 219, 10.1090/qam/99795
Shinozuka, 1972, Structural response variability, J Engng Mech, 113, 825, 10.1061/(ASCE)0733-9399(1987)113:6(825)
Graham, 2001, Response and eigenvalues analysis of stochastic finite element systems with multiple correlated material and geometric properties, Probab Engng Mech, 16, 11, 10.1016/S0266-8920(00)00003-5
Beran, 1998, The use of classical beam theory for micro-beams composed of polycrystals, Int J Solids Struct, 35, 2407, 10.1016/S0020-7683(97)00141-8
Elishakoff, 1999, New exact solutions for randomly loaded beams with stochastic flexibility, Int J Struct, 36, 2325, 10.1016/S0020-7683(98)00113-9
Altus, 2001, Statistical modelling of heterogeneous microbeams, Int J Solids Struct, 38, 5915, 10.1016/S0020-7683(00)00385-1
Jeulin, 1998, Probabilistic models of structures, 233
Sayir, 1980, On elementary theories of beams, plates and shells, J Appl Math Phys, 31, 1, 10.1007/BF01601703
Bhimaraddi, 1994, Computation of ply thickness of laminated beam for which Euler–Bernoulli theory is adequate, Compos Struct, 29, 415, 10.1016/0263-8223(94)90110-4
Caillerie, 1995, Elastic thin shells: asymptotic theory in the anisotropic and heterogeneous cases, Math Models Methods Appl Sci, 5, 473, 10.1142/S0218202595000280
Wang, 2000
Altus, 2003, Strength reliability of statistically heterogeneous microbeams, Int J Solids Struct, 40, 2069, 10.1016/S0020-7683(03)00038-6
Altus, E., Totry, E., 2003. Analytical solutions for the buckling of beams with stochastic material properties by a Functional Perturbation Method, in press.
Kröner, 1986, Statistical modelling, 229
Matheron, 1971