Calculation of impact-contact problems of thin elastic shells taking into account geometrical nonlinearities within the contact region

DOI10.1016/0045-7825(82)90092-5zbMath0505.73053OpenAlexW2066306961WikidataQ64017472 ScholiaQ64017472MaRDI QIDQ1836516

Peter Wriggers, Erwin Stein

Publication date: 1982

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(82)90092-5

zbMATH Keywords

contact stressesprinciple of virtual workimpactsystem of ordinary differential equationsspatial discretizationspherical shellsnumerical algorithmtotal Lagrangian formulationgeometrical nonlinearitieslarge displacements and rotationssubstructure techniquesnonlinear thin shellsinequalities for normal stresses and displacementsintegrated over time using Newmark algorithmmoderate rotation theorytime-depending contact surfacestwo superposed iterations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15) Impact in solid mechanics (74M20) Variational principles of physics (49S05) Numerical and other methods in solid mechanics (74S99) Theories of friction (tribology) (74A55) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items

Time-discretized variational formulation of non-smooth frictional contact, Finite‐element analysis of elastic contact between a shell of revolution and a rigid plate, Analysis of dynamic contact of cracks in viscoelastic media, Finite element analysis of nonsmooth contact, Large deformation analysis of contact in degenerate shell elements, On geometrically nonlinear contact problems with friction

Cites Work

• Dynamic analysis of large structural systems with local nonlinearities
• A note on incremental equilibrium equations and approximate constitutive relations in large inelastic deformations
• Variational principles in the geometrically non-linear theory of shells undergoing moderate rotations
• Recent advances in reduction methods for nonlinear problems
• [https://portal.mardi4nfdi.de/wiki/Publication:3922262 Entwicklung inelastischer Stoffgesetze durch �quivalenz- und Grenzbetrachtungen und ihre numerische Behandlung]
• Finite element formulations for large deformation dynamic analysis
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