On nonisothermal elastoplastic analysis of shell components employing realistic hardening responses

In the present paper, efficient numerical algorithms for elastoplastic analysis of shell-like structural components will be proposed employing nonisothermal, realistic, highly nonlinear hardening responses. The closest point projection integration algorithm is presented using a Reissner–Mindlin type...

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Vydáno v:International journal of solids and structures Ročník 38; číslo 28; s. 5019 - 5039
Hlavní autoři: TONKOVIC, Zdenko, SORIC, Jurica, KRÄTZIG, Wilfried B
Médium: Journal Article
Jazyk:angličtina
Vydáno: Oxford Elsevier Ltd 01.07.2001
Elsevier Science
Témata:
Condensed matter: structure, mechanical and thermal properties
Deformation and plasticity (including yield, ductility, and superplasticity)
Elasticity, elastic constants
Elastoplasticity
Exact sciences and technology
Finite element analysis
Integration algorithm
Mechanical and acoustical properties of condensed matter
Mechanical properties of solids
Nonisothermal hardening responses
Physics
Shell structures
Tensor formulation
Tribology and hardness
Tensor formulation
Integration algorithm
Finite element analysis
Elastoplasticity
Nonisothermal hardening responses
Shell structures
Shell structure
Isoparametric finite element
Theoretical study
Displacement(deformation)
Layered materials
Finite element method
Hardening material
Tensors
Non isothermal condition
Circular cylinder
Cylindrical shell
Reissner membrane
Algorithm analysis
Structural analysis
ISSN:0020-7683, 1879-2146
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Shrnutí:In the present paper, efficient numerical algorithms for elastoplastic analysis of shell-like structural components will be proposed employing nonisothermal, realistic, highly nonlinear hardening responses. The closest point projection integration algorithm is presented using a Reissner–Mindlin type kinematic shell model, completely formulated in tensor notation. Further, a consistent elastoplastic tangent modulus is derived, which ensures high convergence rates in the global iteration approach. The integration algorithm has been implemented into a layered assumed strain isoparametric finite element, which also enables geometrical nonlinearities including finite rotations. The nonisothermal elastoplastic response of a circular cylindrical shell and a box column under axial compression is analysed. Under the assumption of an adiabatic process, the increase in temperature is computed during elastoplastic deformation. Robustness and numerical stability of the proposed algorithms are demonstrated.
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ISSN:0020-7683
1879-2146
DOI:10.1016/S0020-7683(00)00336-X