Elastoplastic Timoshenko beams
Elastoplastic Timoshenko beams
A Timoshenko type elastoplastic beam equation is derived by dimensional reduction from a general 3D system with von Mises plasticity law. It consists of two second-order hyperbolic equations with an anisotropic vectorial Prandtl--Ishlinskii hysteresis operator. Existence and uniqueness of a strong solution for an initial-boundary value problem is proven via standard energy and monotonicity methods.
- Leibniz Association Germany
- Weierstrass Institute Germany
- Weierstrass Institute for Applied Analysis and Stochastics Germany
ddc:510, elastoplasticity -- Timoshenko beam -- anisotropic hysteresis operators -- Prandtl--Ishlinskii model -- von Mises model, von Mises model, elastoplasticity, anisotropic hysteresis operators, article, 35Q70, 74K10, 74N30, 34C55, Timoshenko beam, 510, 74C05, 35Q72, Prandtl--Ishlinskii model, 47J40
ddc:510, elastoplasticity -- Timoshenko beam -- anisotropic hysteresis operators -- Prandtl--Ishlinskii model -- von Mises model, von Mises model, elastoplasticity, anisotropic hysteresis operators, article, 35Q70, 74K10, 74N30, 34C55, Timoshenko beam, 510, 74C05, 35Q72, Prandtl--Ishlinskii model, 47J40
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