gmtflexure (1) - Linux Manuals

gmtflexure: Compute flexural deformation of 2-D loads, forces, bending and moments

NAME

gmtflexure - Compute flexural deformation of 2-D loads, forces, bending and moments

SYNOPSIS

gmtflexure rm/rl[/ri]/rw -ETe[u]|D|file [ [l|r][/args] ] [ pPoisson ] [ yYoung ] [ force ] [ args] [ ] [ wfile] [ [level] ] [ wd] [ zm] [ -bi<binary> ] [ -i<flags> ] [ -o<flags> ]

Note: No space is allowed between the option flag and the associated arguments.

DESCRIPTION

gmtflexure computes the flexural response to 2-D loads using a range of user-selectable options, such as boundary conditions, pre-existing deformations, variable rigidity and restoring force, and more. The solutions are obtained using finite difference approximations to the differential equations.

REQUIRED ARGUMENTS

-Drm/rl[/ri]/rw

Sets density for mantle, load, infill (optionally, otherwise it is assumed to equal the load density), and water. If ri is not given then it defaults to rl.

-ETe[u]|D|file

Sets the elastic plate thickness (in meter); append k for km. If the elastic thickness exceeds 1e10 it will be interpreted as a flexural rigidity D instead (by default D is computed from Te, Young's modulus, and Poisson's ratio; see -C to change these values). Alternatively, supply a file with variable plate thicknesses or rigidities. The file must be co-registered with any file given via -Q.

OPTIONAL ARGUMENTS

-A[l|r]bc[/args]

Sets the boundary conditions at the left and right boundary. The bc can be one of four codes: 0 selects the infinity condition, were both the deflection and its slope are set to zero. 1 selects the periodic condition where both the first and third derivatives of the deflection are set to zero. 2 selects the clamped condition where args (if given) sets the deflection value [0] (and its first derivative is set to zero), while 3 selects the free condition where args is given as moment/force which specify the end bending moment and vertical shear force [0/0]. Use SI units for any optional arguments.

-CpPoisson

Change the current value of Poisson's ratio [0.25].

-CyYoung

Change the current value of Young's modulus [7.0e10 N/m^2].

-Fforce]

Set a constant horizontal in-plane force, in Pa m [0]

-Qn|q|t[args]

Sets the vertical load specification. Choose among these three options: -Qn means there is no input load file and that any deformation is simply driven by the boundary conditions set via -A. If no rigidity or elastic thickness file is given via -E then you must also append min/max/inc to initiate the locations used for the calculations. Append + to inc to indicate the number of points instead. -Qq[loadfile] is a file (or stdin if not given) with (x,load in Pa) for all equidistant data locations. Finally, -Qt[topofile] is a file (or stdin if not given) with (x,load in m or km, positive up); see -M for topography unit used [m].

-S

Compute the curvature along with the deflections and report them via the third output column [none].

-Twfile

Supply a file with pre-existing deformations [undeformed surface].

-Wwd

Specify water depth in m; append k for km. Must be positive [0]. Any subaerial topography will be scaled via the densities set in -D to compensate for the larger density contrast with air.

-Zzm

Specify reference depth to flexed surface in m; append k for km. Must be positive [0]. We add this value to the flexed surface before output.

-V[level] (more ...)

Select verbosity level [c].

-bi[ncols][t] (more ...)

Select native binary input.

-icols[l][sscale][ooffset][,...] (more ...)

Select input columns (0 is first column).

-ocols[,...] (more ...)

Select output columns (0 is first column).

-^ or just -

Print a short message about the syntax of the command, then exits (NOTE: on Windows use just -).

-+ or just +

Print an extensive usage (help) message, including the explanation of any module-specific option (but not the GMT common options), then exits.

-? or no arguments

Print a complete usage (help) message, including the explanation of options, then exits.

--version

Print GMT version and exit.

--show-datadir

Print full path to GMT share directory and exit.

NOTE ON UNITS

The -M option controls the units used in all input and output files. However, this option does not control values given on the command line to the -E, -W, and -Z options. These are assumed to be in meters unless an optional k for km is appended.

PLATE FLEXURE NOTES

We solve for plate flexure using a finite difference approach. This method can accommodate situations such as variable rigidity, restoring force that depends on the deflection being positive or negative, pre-existing deformation, and different boundary conditions.

EXAMPLES

To compute elastic plate flexure from the topography load in topo.txt, for a 10 km thick plate with typical densities, try

gmt flexure -Qttopo.txt -E10k -D2700/3300/1035 > flex.txt

REFERENCES

COPYRIGHT

2015, P. Wessel, W. H. F. Smith, R. Scharroo, J. Luis, and F. Wobbe