Verification Examples

The following 218 Verification Examples are documented in the Verification Manuals to verify and demonstrate the usage of the SOLVIA System. Each example is documented in detail with complete input data and all produced plots. The results are in almost all cases compared with analytical solutions or experimental results.

A large number of further examples has also been used in the verification of the SOLVIA System.

Applications (PDF: 5 pages)

Thermal Applications (PDF: 1 page)

Oil Film Applications (PDF: 1 page)

A1	Thick cylinder under internal pressure
A2	Axisymmetric shell under internal pressure
A3	Simply supported circular plate under pressure load
A4	Circular cylindrical shell under pressure load
A5	Circular cylindrical shell under line load, SHELL
A6	Circular cylindrical shell under line load, PLATE
A7	Cantilever beam under tip loads, BEAM element
A8	Cantilever beam under tip loads, ISOBEAM element
A9	Pinched circular ring, ISOBEAM elements
A10	Pinched circular ring, BEAM elements
A11	Curved beam under out-of-plane load, ISOBEAM elements
A12	Curved beam under out-of-plane load, BEAM elements
A13	Cantilever trUSS structure under concentrated load
A14	Cantilever under distributed load using skew systems, PLANE STRESS
A15	Cantilever under distributed load using skew systems, PLANE STRAIN
A16	Cantilever under distributed load using skew systems, SOLID
A17	Cantilever under distributed load using skew systems, BEAM
A18	Cantilever under distributed load using skew systems, ISOBEAM
A19	Cantilever under distributed load using skew systems, PLATE
A20	Cantilever under distributed load using skew systems, SHELL
A21	Planar TRUSS
A22	Tapered cantilever under tip load
A23	Stiffened plate cantilever under tip load
A24	Analysis of spherical dome under self weight
A25	Clamped square plate under pressure load
A26	Material damping in modal superposition
A27	Simply supported square plate under pressure load
A28	Plate under uniform twisting
A29	Edge bending and twisting of a triangular plate on corner supports
A30	Scordelis-Lo cylindrical roof, cubic SHELL
A31	Scordelis-Lo cylindrical roof, PLATE
A32	Pinched cylindrical shell, SHELL elements
A33	Pinched cylindrical shell, PLATE elements
A34	Analysis of concentric fluid-filled cylinders
A35	Z-section cantilever under distributed edge load
A36	Cylindrical pressure vessel with hemispherical ends
A37	Frequency analysis of cantilever with off-center masses
A38	Simply supported skew plate under pressure load
A39	Orthotropic plate under pressure load
A40	Hemispherical shell under point loads
A41	Beam on elastic foundation
A42	Perforated tension strip
A43	Fracture mechanics analysis of a tensile specimen
A44	Fundamental frequency of cantilever, PLANE STRESS
A45	Fundamental frequency of cantilever, PLANE STRAIN
A46	Fundamental frequency of cantilever, SOLID
A47	Fundamental frequency of cantilever, BEAM
A48	Fundamental frequency of cantilever, ISOBEAM
A49	Fundamental frequency of cantilever, PLATE
A50	Fundamental frequency of cantilever, SHELL
A51	Fundamental frequency of a simply supported plate
A52	Wave propagation in a rod
A53	Wave propagation in a water column
A54	Cantilever subjected to ground motion
A55	Cylindrical tube under step loading
A56	Frequencies of a water-filled acoustic cavity
A57	Thick-walled curved beam under end load
A58	Beam subjected to a travelling load
A59	Frequencies of a clamped thin rhombic plate
A40	transient heat conduction in a semi-infinite solid
A61	Steady-state heat conduction in a square column
A62	Steady-state heat conduction in hollow cylinder
A63	Change in electric potential due to crack growth
A64	Thermal eigenvalues and mode shapes
A65	Torsional shear stress in a T-section beam
A66	Fundamental frequency of a cantilever, 4-node SHELL
A67	Scordelis-Lo cylindrical roof, 4-node SHELL
A68	Analysis of a flanged elbow
A69	Analysis of a rotating tubular shaft
A70	Wave propagation in a rod
A71	transient analysis of a corner (Backward-Euler)
A72	transient analysis of a corner (trapezoidal rule)
A73	Semi-infinite region subjected to constant heat flux
A74	Heat generation in semi-infinite solid (trapezoidal)
A75	Heat generation in semi-infinite solid (Forward-Euler)
A76	Response spectrum analysis of a simply supported beam
A77	Harmonic response of a two-degree-of-freedom system
A78	Response spectrum of two load pulses
A79	Earthquake excitation of a beam structure, floor response spectra
A80	Case-combinations with different boundary conditions
A81	Harmonic response of a simply supported beam
A82	Stiffened plate cantilever under tip moment
A83	Frequency analysis of a torsion spring system
A84	Two-dimensional heat transfer with convection
A85	Harmonic vibration of a damped plate
A86	Harmonic response of a damped two-degree-of-freedom system
A87	Modal combination methods in response spectrum analysis
A88	Simply supported beam conditions using the end release option
A89	Laminated strip
A90	Sandwich shell
A91	Laminated square plate under normal pressure
A92	Dynamic analysis of a beam
A93	Mode superposition analysis of a beam
A94	Orthotropic cylinder under internal pressure
A95	Material damping in complex-harmonic analysis
A96	Frequencies of a beam with U cross-section
A97	Segment of a pipe partly filled with water
A98	Pipe joint
A99	Cantilever beam, standard T cross-section
A100	Frequency analysis of a spherical dome, PLANE STRESS3
A101	Dynamic excitation of a beam structure
A102	Conditional case combinations for a multispan beam
A103	Dynamic analysis of concentric fluid-filled cylinders
A104	Circular and quadratic cylinders in fluid cavity (PDF)
A105	Beam properties and stress factors for a box shaped bridge section
A106	Box-girder bridge, BEAM elements with user section
A107	Box-girder bridge, SOLID elements
A108	Shear stresses in rectangular and circular beam sections
A109	Four span bridge post-tensioned with tendons
A110	Dynamic water pressures against a dam, Westergaard (PDF)
A111	Complex-harmonic analysis of a concrete dam (PDF)
A112	Earthquake excitation of a concrete dam (PDF)
A113	Mode superposition with static correction
B1	Elastic-plastic analysis of TRUSS structure
B2	Large amplitude oscillation of a pendulum
B3	Elastic buckling of a cylindrical panel
B4	Elastic buckling of an imperfect square plate
B5	Cantilever beam in creep
B6	Pipe whip analysis, direct integration solution
B7	Pipe whip analysis, mode superposition
B8	Cyclic loading of plastic truss, isotropic hardening
B9	Cyclic loading of plastic truss, kinematic hardening
B10	Cable under gravity load
B11	Rubber sheet in large strain analysis
B12	Large displacement analysis of a spherical shell
B13	Elastic-plastic analysis of a thick-walled cylinder
B14	Thermo-plastic analysis of a thick-walled cylinder
B15	Cyclic creep analysis of a thick-walled cylinder
B16	Large displacement analysis of a plate
B17	Thermo-elastic analysis of a cantilever beam
B18	Analysis of an underground opening
B19	Reinforced concrete beam, PLANE StrESS
B20	Concrete material curves in compression
B21	Large deflection analysis of a shallow arch
B21	Eight-story building subjected to impact load
B23	Analysis of a sand specimen under compression
B24	Cantilever under large displacements, SHELL
B25	Cantilever under large displacements, PLATE
B26	Plastic cantilever under pure bending, SHELL
B27	Plastic cantilever under pure bending, PLATE
B28	transient temperature analysis of a slab
B29	transient temperature analysis of a space shuttle
B30	Solidification of a semi-infinite slab of liquid
B31	Solidification of a corner region
B32	Excavation of a tunnel
B33	Cable/frame structure with cable failure
B34	Elastic-plastic cantilever plate under end moment
B35	Cracking in a steel-lined concrete cylinder
B36	Dynamic analysis of a plastic spherical cap
B37	Removal and addition of elements, birth/death option
B38	Analysis of temperatures and thermal stresses
B39	Creep analysis of a cantilever
B40	Analysis of snap-through of an arch structure
B41	Snap-back of a bar structure
B42	Nonlinear response of a shallow shell
B43	Linearized buckling analysis of a stiffened plate
B44	Stiffened plate with initial imperfections
B45	Linearized buckling analysis of a circular arch
B46	Linearized buckling analysis of a column
B47	Dynamic restart from static configuration
B48	Cantilever subjected to deformation dependent loading
B49	Plastic analysis of a thick walled cylinder
B50	Thermal buckling of a rectangular plate
B51	Large deflection analysis of a cable structure
B52	Analysis of a cantilever subjected to end moment
B53	Rectangular shaft subjected to twisting moment
B54	Analysis with plastic-multilinear model, isotropic hardening
B55	Analysis with plastic-multilinear model, kinematic hardening
B56	Analysis of Hertz axisymmetric contact problem
B57	Analysis of Hertz plane strain contact problem
B58	Cable around a fast pulley
B59	Dynamic analysis of frictional sliding of a point mass
B40	Collision between a point mass and a rigid surface
B61	Longitudinal impact of two identical bars
B62	Analysis of Hertz dynamic contact problem
B63	Analysis of elastic creep - creep law no. 1
B64	Analysis of elastic creep - creep law no. 2
B65	Large displacement analysis of a spherical shell
B66	Analysis of one-dimensional seepage flow
B67	Unconfined seepage flow through a rectangular dam
B68	Unconfined seepage flow through a gravity dam
B69	Semi-infinite region undergoing two phase changes
B70	User-supplied material model (Ramberg-Osgood)
B71	Natural frequencies of a pre-loaded beam
B72	Plastic collapse of a beam structure, pipe section
B73	Plastic collapse of a beam structure, box-section
B74	Analysis of a rubber bushing
B75	Large deflection of a curved elastic cantilever
B76	Initial strain in a curved beam
B77	Temperature gradients in a curved beam
B78	Temperature gradients in a plate
B79	Reinforced concrete beam, ISOBEAM
B80	Reinforced concrete beam, nonlinear-elastic ISOBEAM
B81	Bresler-Scordelis concrete beam
B82	Compression of a rubber o-ring, PLANE STRAIN
B83	Complex-harmonic analysis of a pre-loaded BEAM
B84	Immersion of a shell structure into water, buoyancy effects
B85	Pure shear of a rubber sheet
B86	In-plane buckling of an unsymmetric deep arch
B87	Lateral buckling of a right-angle frame
B88	Lee's Frame Buckling Problem
B89	Bresler-Scordelis concrete beam, A-2 with stirrups
B90	Compound cylinder
B91	Concrete slab under uniaxial moment, Jain and Kennedy
B92	Tilting-pad journal bearing, rigid pads
B93	Tilting-pad journal bearing, elastic pads
B94	Journal bearing, full Sommerfeld solution
B95	Heat generation in a parallel-surface slider bearing
B96	Tilting-pad journal bearing, elastic pads and shaft
B97	Tilting-pad thrust bearing, spring supported
B98	Sector-shaped thrust bearing, isoviscous oil and rigid pad
B99	Simply supported concrete slab, Jain and Kennedy
B100	Dynamic simulation of a wind power structure (PDF)
B101	Gyroscopic effects on a yawing wind power structure
B102	Lateral buckling of a hinged frame under end moments (PDF)
B103	Large deflection of a U-section cantilever (PDF)
B104	Lateral buckling of a cantilever
B105	Eccentric stiffeners of a thin-walled structure (PDF)