Imperfect bifurcation in structures and materials. Engineering use of group-theoretic bifurcation theory.
From MaRDI portal
Publication:988547
DOI10.1007/978-1-4419-7296-5zbMath1204.74003OpenAlexW4250872407MaRDI QIDQ988547
Publication date: 17 August 2010
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4419-7296-5
Lyapunov-Schmidt reductiongroup symmetryrandom imperfectionblock-diagonalization methodtheory of worst imperfection
Bifurcation and buckling (74G60) Shells (74K25) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02)
Related Items
Exploitation of symmetry in graphs with applications to finite and boundary elements analysis ⋮ Stability of Bifurcating Patterns of Spatial Economy Models on a Hexagonal Lattice ⋮ Non-uniqueness and symmetry of optimal topology of a shell for minimum compliance ⋮ On the number of matrices to generate a matrix \(\ast\)-algebra over the real field ⋮ Versatile benchmark model reproducing snap-through, asymmetric, symmetric unstable/stable, and multiple bifurcation including hill-top branching in structural instability ⋮ Gröbner bases plugged into graphical skills to solve a set of multiple bifurcation equations in structural compound stability problems ⋮ A group-theoretic approach to the bifurcation analysis of spatial Cosserat-rod frameworks with symmetry ⋮ Stable spatially localized configurations in a simple structure -- a global symmetry-breaking approach ⋮ Group theoretic approach to large-deformation property of three-dimensional bar-hinge mechanism ⋮ Multiple bifurcation paths visualized by a computational asymptotic stability theory ⋮ SELF-ORGANIZATION OF LÖSCH'S HEXAGONS IN ECONOMIC AGGLOMERATION FOR CORE-PERIPHERY MODELS ⋮ Bifurcation theory of a racetrack economy in a spatial economy model ⋮ Computational two-mode asymptotic bifurcation theory combined with hyper dual numbers and applied to plate/shell buckling ⋮ Hill-top branching: its asymptotically expanded and visually solved bifurcation equations ⋮ Appropriate number of unit cells in a representative volume element for micro-structural bifurcation encountered in a multi-scale modeling
