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You can find photos of these stitches in  Encyclopedia of Tunisian Crochet!
Tunisian Double Crochet

Basic Instructions:  
Any number of chs + 2 extra for the edges.
Row 1 Forward: Yo, in 2nd ch from hk, insert hk. *Yo, pull through. Yo and pull through 2 loops on hk. Leave remaining loop on hk. Yo, insert hk into next ch. Repeat from * for all chs.  DO NOT TURN.
Row 1 Return: As you normally would for Tss or Tks.  
The Results will look like Tunisian Crochet stitches sitting on top of Half Double Crochet stitches.
Row 2 Forward: Ch 1,*YO, Insert the hook into the Tunisian Crochet portion of the st, Yo, pull through. Yo, pull through 2 loops, leaving the last loop on the hook. Repeat from * for all stitches.
Row 2 Return: Same as Row 1-Return.

Double TC with Knit Foundation-DcTks:
Forward: Ch 1. *Yo, insert hook through the center of the second st to the back of the piece. Yo, and pull through. Yo and pull through two loops, leaving the third loop on the hook. *Repeat across row with each st, working last st as you normally would for Tks.
Return: Yo and pull through one loop. Yarn over and pull through two loops.

Double TC with Purl Foundation-DcTps:
Forward: Ch 1. *Put needle to back of piece. Yo and slip hook under back loop of second st, pull through. Yo and pull through two loops leaving third on hook. *Repeat across row with each st, working last st as you normally would for Tks.
Return: Yo pull through one loop. *Yo and pull through two loops.

Double TC with Simple Foundation-DcTss:
Forward: Ch 1. *Yo. Slip hk under uppermost vertical thread of next st. Yo, pull through.  Yo and pull through two loops, leaving the third loop on the hk. *Repeat across row with each st, working last st as you normally would for Tss.
Return: Yo pull through one loop. *Yo and pull through two loops.

Double TC with Full Foundation-DcTfs:
Forward: Ch 1. *Yo, insert hook between the current and next sts. Yo, and pull through. Yo and pull through two loops, leaving the third loop on the hook.  *Repeat across row with each st, working last st as you normally would for Tks.
Return: Yo and pull through one loop. Yarn over and pull through two loops.

I have trouble with these stitches, since I tend to pull the tension tight on the lower portion of the stitch, thus leaving the upper portion very loose.  This makes for an interesting visual effect, but does not make for a very tight, heat trapping stitch.  I use this for light weight pieces such as spring and fall shawls/afghans.

Double TC with Reverse Foundation-DcTrs:
This stitch is almost impossible, since pulling the yarn to the front of the piece will remove the Yo for the Double Crochet portion of the stitch.  Even if you do the Yo backwards, it still gets lost in the mechanics of the stitch, and just isn't worth the effort.
Forward: Ch 1. *Yo. With the Thumb of your Yarn Hand, pull the yarn to the front of the piece. Insert hook under the vertical loop of next st.  Yo from back to front pull through and leave loop on hook. Yo and pull through two loops, leaving the third loop on the hook.  *Repeat across row with each st, working last st as you normally would for DcTks.
Return: Yo and pull through one loop. Yarn over and pull through two loops.
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For a diagram of all the various Threads of a Tunisian Crochet Stitch,
Click Here!
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Abbreviations:  
Beg: Beginning
 Ch: Chain stitch   
Lp: Loop  
Hk: Hook
DO: drop off
PU: pick up
Sk: skip stitches
Sl St: slip stitch
Yo: Yarn Over hook
Tks-Knit st  
Tss-Simple/Afghan St Tps-Purl St
 Trs-Reverse St
 Tfs-Full/Plain St

Trps-Reverse Purl st