EDIT
Recent versions of pgfplots come with axis line shift, which allows us to simplify the style as follows:
\documentclass{standalone}\usepackage{pgfplots}\def\axisdefaultwidth{360pt}\pgfplotsset{ every axis/.append style={thick},tick style={thick,black}, % range3frame/.style={ tick align=outside, scaled ticks=false, enlargelimits=false, axis lines*=left, line cap=round, clip=false, axis line shift=10pt, }}\begin{document}\begin{tikzpicture} \begin{axis}[range3frame,view={55}{45}] \addplot3[mesh,samples=41,domain=0:360] {sin(x)*sin(y)}; \end{axis}\end{tikzpicture}\end{document}Image may be NSFW.
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End of edit
There is no such predefined style.
But here is one defined in 5 lines:
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\documentclass{standalone}\usepackage{tikz}\usepackage{pgfplots}\def\axisdefaultwidth{360pt}\pgfplotsset{ every axis/.append style={thick},tick style={thick,black}, % % #1 = x, y, or z % #2 = the shift value /tikz/normal shift/.code 2 args={% \pgftransformshift{% \pgfpointscale{#2}{\pgfplotspointouternormalvectorofticklabelaxis{#1}}% }% },% % range3frame/.style={ tick align=outside, scaled ticks=false, enlargelimits=false, ticklabel shift={10pt}, axis lines*=left, line cap=round, clip=false, xtick style={normal shift={x}{10pt}}, ytick style={normal shift={y}{10pt}}, ztick style={normal shift={z}{10pt}}, x axis line style={normal shift={x}{10pt}}, y axis line style={normal shift={y}{10pt}}, z axis line style={normal shift={z}{10pt}}, }}\begin{document}\begin{tikzpicture} \begin{axis}[range3frame,view={55}{45}] \addplot3[mesh,samples=41,domain=0:360] {sin(x)*sin(y)}; \end{axis}\end{tikzpicture}\end{document}The command \pgfplotspointouternormalvectorofticklabelaxis{x} is a shortcut for \pgfplotspointouternormalvectorofaxis{\pgfplotsticklabelaxisspec{x}}. I fear the documentation for \pgfplotspointouternormalvectorofticklabelaxis is missing in the reference manual.
Note that this shift is incompatible with the grid lines (by construction!). To see this, try to add grid=major and you will see the the descriptions are slightly off. You may need to decide if that is what you want (or how to repair it).
