SOLVIA Finite Element System
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Buckling (PDF)
Stiffeners (PDF)
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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)


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