How can I access a class's member function via an array of pointers?

I have a pretty standard class with some public member functions and private variables.

My problem originally stems from not being able to dynamically name object instances of my class so I created an array of pointers of the class type:

static CShape* shapeDB[dbSize];

I have some prompts to get info for the fields to be passed to the constructor (this seems to work):

shapeDB[CShape::openSlot] = new CShape(iParam1,sParam1,sParam2);

openSlot increments properly so if I were to create another CShape object, it would have the next pointer pointing to it. This next bit of code doesn't work and crashes consistently:

cout << shapeDB[2]->getName() << " has a surface area of: " << shapeDB[2]->getSA() << shapeDB[2]->getUnits() << endl;

The array of pointers is declared globally outside of main and the get() functions are public within the class returning strings or integers. I'm not sure what I'm doing wrong but something relating to the pointer set up I'm sure. I'm writing this code to try and learn more about classes/pointers and have gotten seriously stumped as I can't find anyone else trying to do this.

I'm also curious as to what the CShape new instances get named..? if there is any other way to dynamically create object instances and track the names so as to be able to access them for member functions, I'm all ears.

I've tried all sorts of permutations of pointer referencing/de-referencing but most are unable to compile. I can post larger chunks or all of the code if anyone thinks that will help.

class CShape {
    int dim[maxFaces];
    int faces;
    string units;
    string type;
    string name;
    bool initialized;
    int slot;
public:
    static int openSlot;

    CShape();
    CShape(int, string, string); // faces, units, name
    ~CShape();

    void initialize(void);

    // external assist functions
    int getA(void) {
        return 0;
    }
    int getSA(void) {
        int tempSA = 0;

        // initialize if not
        if(initialized == false) {
            initialize();
        }

        // if initialized, calculate SA
        if(initialized == true) {
            for(int i = 0; i < faces; i++)
            {
                tempSA += dim[i];
            }
            return(tempSA);
        }

        return 0;
    }
    string getUnits(void) {
        return(units);
    }
    string getName(void) {
        return(name);
    }

    // friend functions
    friend int printDetails(string);
};

// constructor with values
CShape::CShape(int f, string u, string n) {

    initialized = false;
    faces = f;
    units = u;
    name = n;
    slot = openSlot;
    openSlot++;
}