Hello. I've no idea how to draw animated explosion. I don't have any 3D software, only photoshop cs. The main idea is to draw the number of sprites with explosion steps. I've found couple of tutorials but they all not related to the game art. Please, can you tell me where i can read some articles and/or tutorials related to the games art? Thanks!

You can try Explosion Generator which is freeware or ExGen which is $30.
The alternative is use a Particle system which might be trickier to do but are more dynamic and can produce better effectss

So here's what you can do to start:

Find a video on the internet that contains an explosion.

Videos are just a bunch of frames being swapped quickly so they look fluid, like they move.
Stop the movie every so many frames and try to reproduce what the explosion looks like.

When you finish the drawings, photoshop and image ready can sequentially playback your frames and voila you have an animation. Tweak it to your liking.

Try also doing a flip book project. Draw each stage of the explosion and when you flip the book you can see your explosion!

Explosions in a 2D engines sometimes are 'sprites' . These are just like the flip book idea where the frames are played through to get an animation.

Explosions in 3D use particle engines which are pretty complicated but look great.

If you're graphically untalented like me, you can do it the easy way and use the free-select tool in Paint and just grab random bits (I'm a fan of triangles, myself) and yank them about. Presto. :D

Or you could do it the programming way and do some particle effects. It's surprising how simple of a particle effect is required to mask over the fact that your space ship just spontaneously disappeared.

What is an explosion?

Think about it. At its simplest, an explosion occurs when the internal pressure of an object exceeds the ability of its surface material to hold it. The result is a tear/fragmentation of said surface material and a dispersal of the contents. In the case of bombs and exploding spaceships, the contents are flamable, so in addition to scraps of metal and cardboard (the ships body panels or the tube that makes up the dynamite stick), we get fire.

Now, how does fire burn?

Fire voraciously consumes fuel, expanding from the solid/liquid form of the fuel into the vapourous form of the flames and exhaust, then dispersing. Running out of either oxygen or fuel will cause the flames to die. The vapours produced by a fire are lighter than air, generally, and thus tend to rise in an environment with gravity (the velocity of the burning object can alter this slightly, as seen with molotov cocktails and so forth). In space, however, not only is there is no gravity, there is no oxygen. A space explosion should emit the light of surface fracture and fuel vaporization, but then uniformly disperse the surface fragments and fuel vapor particles in a radial/spherical pattern.

Whew. A lot of words. Fortunately, I actually have a complete animation cycle to show you. Well, sort of. It's actually a 12-step sequence of a dispersing cloud, but clouds are vapor distributed in air, so there are physical similarities to the two. Add light effects and dark exhaust fumes and you pretty much have an explosion. (Sorry, you can't use these images. They are property of Ethereal Darknesss Interactive. Click each frame for a full size, 512x512 image.)

Thanks for info.

...btw after taking a look into this all, i'm thinking to insert explosion code to my game instead of using sprites. It gives me more random explosion animations and they all will be more flexible to use. Since i need to explode some asteroids and other objects with differet sizes.

Big thanks!