Rigorous derivation of a plate theory in linear elastoplasticity via Γ-convergence

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Thin-walled beams: a derivation of Vlassov theory via Γ-convergence

This paper deals with the asymptotic analysis of the three-dimensional problem for a linearly elastic cantilever having an open crosssection which is the union of rectangles with sides of order ε and ε2, as ε goes to zero. Under suitable assumptions on the given loads and for homogeneous and isotropic material, we show that the threedimensional problem Γ-converges to the classical one-dimension...

متن کامل

Asymptotic Analysis of Non-symmetric Linear Operators via Γ-convergence

We study the asymptotic behavior of a sequence of Dirichlet problems for second order linear operators in divergence form { −div(σε∇u) = f in Ω, u ∈ H1 0 (Ω), where (σε) ⊂ L∞(Ω;Rn×n) is uniformly elliptic and possibly non-symmetric. On account of the variational principle of Cherkaev and Gibiansky [1], we are able to prove a variational characterization of the H-convergence of (σε) in terms of ...

متن کامل

Critical Points via Γ-convergence: General Theory and Applications

It is well-known that Γ-convergence of functionals provides a tool for studying global and local minimizers. Here we present a general result establishing the existence of critical points of a Γ-converging sequence of functionals provided the associated Γ-limit possesses a nondegenerate critical point, subject to certain mild additional hypotheses. We then go on to prove a theorem that describe...

متن کامل

Γ-convergence and H-convergence of Linear Elliptic Operators

We consider a sequence of linear Dirichlet problems as follows

متن کامل

From Diffusion to Reaction via Γ-Convergence

We study the limit of high activation energy of a special Fokker–Planck equation known as the Kramers–Smoluchowski equation (KS). This equation governs the time evolution of the probability density of a particle performing a Brownian motion under the influence of a chemical potential H/ε. We choose H having two wells corresponding to two chemical states A and B. We prove that after a suitable r...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA

سال: 2011

ISSN: 1021-9722,1420-9004

DOI: 10.1007/s00030-011-0137-y