On the provenance of hinged-hinged frequencies in Timoshenko beam theory by W.P. Howson, Andrew Watson

“…An alternative, ‘precise’ approach, that models Timoshenko theory efficiently, but eliminates the possibility of a second spectrum, is then described and used to confirm the original eigenvalues. …”
Get full text

Timoshenko frequencies and the Wittrick-Williams algorithm: some simple exact solutions to complex problems by Paul Howson, Andrew Watson

“…Two related problems are then solved simply and efficiently. In the first of these, the governing differential equation is transformed into a standard quadratic equation that provides the core of a simple procedure that yields the exact natural frequencies of the member for the simply supported case. …”
Get full text

Lower bound eigenvalues of a Timoshenko-Ehrenfest vibrating beam using the Wittrick-Williams algorithm by Andrew Watson, W Paul Howson, Antonio Zippo, Francesco Pellicano

“…The Wittrick-Williams algorithm excels in solving transcendental eigenvalue problems arising from the exact solutions of governing differential equations. …”
Get full text

Physically-based Dirac’s deltas functions in the static analysis of multi-cracked Euler-Bernoulli and Timoshenko beams by Alessandro Palmeri, Alice Cicirello

Subjects: “…Other built environment and design not elsewhere classified…”
Get full text

An efficient two-node finite element formulation of multi-damaged beams including shear deformation and rotatory inertia by Marco Dona, Alessandro Palmeri, Mariateresa Lombardo, Alice Cicirello

Subjects: “…Other built environment and design not elsewhere classified…”
Get full text

Static and dynamic analysis of multi-cracked beams with local and non-local elasticity by Marco Dona

Subjects: “…Other built environment and design not elsewhere classified…”
Get full text

Experimental assessment of mixed-mode partition theories by Christopher Harvey, Simon Wang

“…The Wang-Harvey Euler beam partition theory seems to offer the best and most simple explanation for all the experimental observations. …”
Get full text

Hybrid equilibrium finite element formulation for composite beams with partial interaction by Hugo A.F.A. Santos, Vadim Silberschmidt

“…The approximate field variables are selected such that all equilibrium equations hold in strong form. The inter-element equilibrium is enforced by resorting to the Lagrangian multiplier method. …”
Get full text

Partition of mixed modes in double cantilever beams with non-rigid elastic interfaces by Simon Wang, Christopher Harvey, Liangliang Guan

“…Within the context of Timoshenko beam theory, it is shown that the mode II component of energy release rate is the same as that in Euler beam theory while the mode I component is different due to the through-thickness shear effect. …”
Get full text

Nonlinear tribodynamics of an elastic shaft with a flexible bearing outer race by Robert Turnbull, Nader Dolatabadi, Ramin Rahmani, Homer Rahnejat

“…The importance of integrated system dynamics and lubricated contact mechanics is highlighted, showing that although the elastodynamic response of the rotor’s flexible elements may not be clear in the acquired vibration signal, its effect on energy efficiency of the system can be quite important.…”
Get full text

The effect of outer ring elastodynamics on vibration and power loss of radial ball bearings by Rob Turnbull, Ramin Rahmani, Homer Rahnejat

“…The elastodynamic behaviour reduces the elastohydrodynamic film thickness, affecting contact friction, wear, fatigue, vibration, noise and inefficiency.…”
Get full text

Partition of mixed-mode fractures in 2D elastic orthotropic laminated beams under general loading by Joe Wood, Christopher Harvey, Simon Wang

“…Partition of mixed-mode fractures under pure through-thickness shear forces is then achieved by using these two pure modes in conjunction with two thickness ratio-dependent correction factors: (1) a shear correction factor, and (2) a pure-mode-II energy release rate (ERR) correction factor. Both correction factors closely follow an elegant normal distribution around a symmetric DCB geometry. …”
Get full text

Brittle mixed-mode cracks between linear elastic layers by Joseph D. Wood

“…Equivalent material properties are derived for each layer, namely, an equivalent elastic modulus and an equivalent Poisson s ratio, such that both the total ERR and the bimaterial mismatch coefficient are maintained in an alternative equivalent case. …”
Get full text

A theory of one-dimensional fracture by Simon Wang, Christopher M. Harvey

“…It is found that they are distinct from each other in Euler beam or plate theory and coincide at the Wang-Harvey set in Timoshenko beam or plate theory. …”
Get full text

Authors' reply by Stephen Walsh, R.G. White

“…Morley's theory also included the effect of extension of the neutral axis. It was shown in reference [2] that when the curvature is slight, the equations can be simplified and a Timoshenko-type equation can be obtained for the flexural motion. …”
Get full text

Post-local buckling-driven delamination in bilayer composite beams by Simon Wang, Christopher Harvey, Bin Wang, Andrew Watson

“…The total ERR is partitioned by using partition theories based on the Euler beam, Timoshenko beam and 2D-elasticity theories. …”
Get full text

The mechanics of interface fracture in layered composite materials: (4) buckling driven delamination of thin layer materials by Simon Wang, Christopher Harvey, Qiusheng Li, Bin Wang, Andrew Watson

“…Independent experimental tests [9] show that, in general, the analytical partitions based on the Euler beam or classical plate theory predicts the propagation behaviour very well and much better than the partitions based on the Timoshenko beam and 2D-elasticity theories.…”
Get full text

Mixed mode partition theories for double cantilever beam with rigid and non-rigid interfaces by Liangliang Guan

“…Many analytical theories, numerical and experimental methods have been developed for understanding the fracture initiation and propagation, however considerable confusion has arisen in calculating the mode I and II energy release rates (ERR) of mixed modes. …”
Get full text

Mixed-mode partition theories for one-dimensional fracture by Christopher M. Harvey

“…This alters the ERR partition but does not affect the total ERR. …”
Get full text

Mixed-mode delamination in layered isotropic and laminated composite beam structures by Christopher Harvey, Paul Cunningham, Simon Wang

“…The theories are developed within the contexts of both the Euler and Timoshenko beam theories. The theories are extensively verified against numerical simulations using the finite element method. …”
Get full text

Mixed mode partition theories for one dimensional fractures by Simon Wang, Christopher M. Harvey

“…The developed theories are extensively validated against numerical simulations using finite element methods. …”
Get full text

Mixed-mode partition theories for one-dimensional delamination in laminated composite beams by Christopher Harvey, Simon Wang

“…Approximate 'averaged partition rules' are also established for 2D elasticity. The beam partition theories and averaged rules are extensively validated against numerical simulations using the finite element method (FEM). …”
Get full text

Short-term oxidation and residual compression properties of needle-punched carbon/carbon composites by Meng Han, Zhichao Wang, Xingyu Zhang, Yang Ni, Weixin Ma, Ge Qi, Xiujing Han, Vadim Silberschmidt, Chuwei Zhou

“…Needle-punched carbon/carbon (NP C/C) composite is widely used in rocket-engine nozzles and re-entry vehicles. Recyclable technology expedited the research on repeated oxidation and residual mechaincal properties of thermal-protection materials. …”
Get full text

Local delamination failure of thin material layers by Bin Wang

“…The total ERR is partitioned by using partition theories based on the Euler beam, Timoshenko beam and 2D-elasticity theories. …”
Get full text