Phase-field analysis of finite-strain plates and shells including element subdivision

With the theme of fracture of finite-strain plates and shells based on a phase-field model of crack regularization, we introduce a new staggered algorithm for elastic and elasto-plastic materials. To account for correct fracture behavior in bending, two independent phase-fields are used, corresponding to the lower and upper faces of the shell. This is shown to provide a realistic behavior in bending-dominated problems, here illustrated in classical beam and plate problems. Finite strain behavior for both elastic and elasto-plastic constitutive laws is made compatible with the phase-field model by use of a consistent updated-Lagrangian algorithm. To guarantee sufficient resolution in the definition of the crack paths, a local remeshing algorithm based on the phase- field values at the lower and upper shell faces is introduced. In this local remeshing algorithm, two stages are used: edge-based element subdivision and node repositioning. Five representative numerical examples are shown, consisting of a bi-clamped beam, two versions of a square plate, the Keesecker pressurized cylinder problem, the Hexcan problem and the Muscat-Fenech and Atkins plate. All problems were successfully solved and the proposed solution was found to be robust and efficient.

Thermal buckling of circular cylindrical and conical thin-walled shells

"Aeronautical Research Laboratory. Contract AF 33(616)-3885, Project no. 7(8-1367), Task no. 70524."

Combined effects of axial load, thermal stress, and creep in flat plates

"Aeronautical Research Laboratory. Contract AF33(616)-3617, Project 6-(8-1367) Task 70524."

Vibrations of ring-stiffened cylindrical shells.

"AFSWP no. 873. Office of Naval Research. Contract no. Nonr-266 (08) Technical report no. 13. CU-13-55-ONR-266 (08)-CE."

Approximate determination of the frequencies of ring stiffened cylindrical shells.

"AFSWP no. 874. Office of Naval Research. Contract no. Nonr 266 (08) Technical report no. 14. CU-14-55-ONR-266 (08)-CE."

Influence coefficients for toroidal shells. Uniform pressure acting on the concave surface.

"Subject no. 18550. Stress analysis."

Influence coefficients for toroidal shells. Uniform internal pressure acting on the convex surface.

"Subject no. 68-18550."

Finite elastic analysis of an infinite plate with an elliptic hole.

1. Plane strain.

Influence of natural frequencies and source correlation fields on random response of panels

"Materials Central, Contract no. AF33(616)-6828, Project no. 7351."

Effect of viscoelastic foundation on forced vibration of loaded rectangular plates

Mode of access: Internet.

Damping energy dissipation at support interfaces of square plates

"Materials Laboratory, Contract no. AF33(616)-5426, Project no. 7360."

On the buckling of circular cylindrical shells under external pressure,

"Project no. 9782. Contract AF 49(638)-430... CU-23-62-AF-430-CE."

Dynamic behavior of cylindrical shells under initial stress,

"Project no. 9782. Contract AF 49 (638)-430 ... CU-11-60-AF-430-CE."

Nonlinear theories for thin shells,

"Contract Nonr 1866(02)."