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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Abstract	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.
AbstractList	In the present paper, efficient numerical algorithms for elastoplastic analysis of shell-like structural components will be proposed employing nonisothermal, reaslistic, 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 enable sgeometrical 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. Example material is german mild steel St37.12. 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.
Author	Tonković, Zdenko Sorić, Jurica Krätzig, Wilfried B
Author_xml	– sequence: 1 givenname: Zdenko surname: TONKOVIC fullname: TONKOVIC, Zdenko organization: Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, I. Lucica 5, 10 000 Zagreb, Croatia – sequence: 2 givenname: Jurica surname: SORIC fullname: SORIC, Jurica organization: Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, I. Lucica 5, 10 000 Zagreb, Croatia – sequence: 3 givenname: Wilfried B surname: KRÄTZIG fullname: KRÄTZIG, Wilfried B organization: Institute for Statics and Dynamics, Ruhr University Bochum, Universitätsstrasse 150, 44780 Bochum, Germany
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Cites_doi	10.4203/ccp.54.6.2 10.1016/0749-6419(94)00039-5 10.1016/S0965-9978(98)00104-5 10.1007/BF00364242 10.1002/nme.1620380404 10.1016/0045-7825(95)00957-4 10.1002/nme.1620362210 10.1016/0020-7403(93)90054-X 10.1016/S0045-7949(05)80001-X 10.1007/978-3-322-93983-8 10.1002/nme.1620362204 10.1016/S0045-7825(96)01241-8 10.1016/0749-6419(86)90010-0 10.1002/nme.1620371506 10.1016/B978-0-444-89991-0.50101-3 10.1108/02644409710157631 10.1016/0749-6419(92)90024-7
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Keywords	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
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Snippet	In the present paper, efficient numerical algorithms for elastoplastic analysis of shell-like structural components will be proposed employing nonisothermal,...
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SubjectTerms	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
Title	On nonisothermal elastoplastic analysis of shell components employing realistic hardening responses
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