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Rotations in computational solid mechanics
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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A simplified finite element method for large deformation, post‐buckling analyses of large frame structures, using explicitly derived tangent stiffness matrices
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Elasto‐plastic large deformation analysis of space‐frames: A plastic‐hinge and stress‐based explicit derivation of tangent stiffnesses
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A beam finite element non‐linear theory with finite rotations
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Static and dynamic analysis of space frames with non‐linear flexible connections
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Introduction to Vectors and Tensors
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Introduction to Vectors and Tensors
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Computational Mechanics ’88
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On the Formulation of Variational Theorems Involving Volume Constraints
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New General and Complementary Energy Theorems, Finite Strain, Rate Sensitive Inelasticity and Finite Elements: Some Computational Studies
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Large-deformation, elasto-plastic analysis of frames under nonconservative loading, using explicitly derived tangent stiffnesses based on assumed stresses
inferredcites →https://doi.org/10.1007/bf00282411openalex-snapshot
On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams
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Analysis of strain localization in strain-softening hyperelastic materials, using assumed stress hybrid elements
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Formulation of a membrane finite element with drilling degrees of freedom
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Primal and mixed forms of Hamiltons's principle for constrained rigid body systems: numerical studies
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Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes
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On the formulation of variational theorems involving volume constraints
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A new variational principle for finite elastic displacements
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Finite rotations in the description of continuum deformation
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A note on variational principles in elasticity
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On the hybrid stress finite element model for incremental analysis of large deflection problems
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Eigenmodal deformations in elastic/plastic continua
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On constitutive inequalities for simple materials—I
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An excursion into large rotations
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Analyses of large quasistatic deformations of inelastic bodies by a new hybrid-stress finite element algorithm: Applications
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Analyses of large quasistatic deformations of inelastic bodies by a new hybrid-stress finite element algorithm
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Objectivity of incremental constitutive relations over finite time steps in computational finite deformation analyses
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On constitutive relations at finite strain: Hypo-elasticity and elasto-plasticity with isotropic or kinematic hardening
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Development and testing of stable, invariant, isoparametric curvilinear 2- and 3-D hybrid-stress elements
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Stability analysis of structures via a new complementary energy method
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Alternate stress and conjugate strain measures, and mixed variational formulations involving rigid rotations, for computational analyses of finitely deformed solids, with application to plates and shells—I
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Hybrid stress finite elements for large deformations of inelastic solids
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Influence of local buckling on global instability: Simplified, large deformation, post-buckling analyses of plane trusses
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Finite element mesh for a complete solution of a problem with a singularity
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An explicit expression for the tangent-stiffness of a finitely deformed 3-D beam and its use in the analysis of space frames
inferredcites →https://doi.org/10.1016/0045-7949(86)90339-1openalex-snapshot
Large displacement analysis of plates by a stress-based finite element approach
inferredcites →https://doi.org/10.1016/0045-7949(88)90355-0openalex-snapshot
Dynamic analysis of finitely stretched and rotated three-dimensional space-curved beams
inferredcites →https://doi.org/10.1016/0045-7949(90)90405-qopenalex-snapshot
Time finite element methods for large rotational dynamics of multibody systems
inferredcites →https://doi.org/10.1016/0168-874x(85)90028-9openalex-snapshot
Instability analysis of space trusses using exact tangent-stiffness matrices
inferredcites →https://doi.org/10.1016/0264-682x(84)90061-3openalex-snapshot
Non-linear elastic deformations
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Non-linear elastic deformations
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Rate Complementary Energy Principles; Finite Strain Plasticity Problems; and Finite Elements
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Nonlinear Theory of Elasticity
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On the Nonlinear Theory of Elasticity
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A Treatise on the Mathematical Theory of Elasticity
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A survey of representations of spatial rotation about a fixed point
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On Some New General and Complementary Energy Theorems for the Rate Problems in Finite Strain, Classical Elastoplasticity
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Proceedings, International Conference on Constitutive Laws for Engineering Materials, Theory and Application
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An Historical Note on Finite Rotations
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Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle
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Finite Elasticity Solutions Using Hybrid Finite Elements Based on a Complementary Energy Principle—Part 2: Incompressible Materials
inferredcites →https://doi.org/10.1115/1.3627365openalex-snapshot
Mechanics of Incremental Deformation
inferredcites →https://doi.org/10.1137/1006093openalex-snapshot
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Derivation of element stiffness matrices by assumed stress distributions
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Elasticity equations for incompressible and nearly incompressible materials by a variational theorem.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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An Invariant G1-Conforming Mixed Bezier Fe-Formulation for the Analysis of Kirchhoff-Love Rods
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A vectorial approach to computational modelling of beams undergoing finite rotations
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Analysis of flexible multibody systems with spatial beams using mixed variational principles
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Computing with Rotations: Algorithms and Applications
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A Consistent Theory of, and a Variational Principle for, Thick Elastic Shells Undergoing Finite Rotations
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A COMPUTATIONALLY EFFECTIVE FORMULATION TO FINITE ROTATIONS - SMALL STRAINS DESCRIPTION OF BEAM ELEMENTS
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